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Finding the Fourth Proportional to 520,905.40, 781,358.10 and 394,934.20

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Solution

The fourth proportional to 520,905.40, 781,358.10 and 394,934.20 is: 592,401.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,905.40 : 781,358.10 = 394,934.20 : x
  2. Step 2: Convert to fraction form
    520,905.40/781,358.10 = 394,934.20/x
  3. Step 3: Cross multiply
    520,905.40x = 781,358.10 × 394,934.20
  4. Step 4: Simplify right side
    520,905.40x = 308,585,036,137.02
  5. Step 5: Solve for x
    x = 308,585,036,137.02/520,905.40
  6. Step 6: Final answer
    x = 592,401.30

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.