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Finding the Fourth Proportional to 463,165.40, 694,748.10 and 163,983.80

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Solution

The fourth proportional to 463,165.40, 694,748.10 and 163,983.80 is: 245,975.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,165.40 : 694,748.10 = 163,983.80 : x
  2. Step 2: Convert to fraction form
    463,165.40/694,748.10 = 163,983.80/x
  3. Step 3: Cross multiply
    463,165.40x = 694,748.10 × 163,983.80
  4. Step 4: Simplify right side
    463,165.40x = 113,927,433,480.78
  5. Step 5: Solve for x
    x = 113,927,433,480.78/463,165.40
  6. Step 6: Final answer
    x = 245,975.70

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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.