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Finding the Fourth Proportional to 472,194.20, 708,291.30 and 313,909.40

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Solution

The fourth proportional to 472,194.20, 708,291.30 and 313,909.40 is: 470,864.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,194.20 : 708,291.30 = 313,909.40 : x
  2. Step 2: Convert to fraction form
    472,194.20/708,291.30 = 313,909.40/x
  3. Step 3: Cross multiply
    472,194.20x = 708,291.30 × 313,909.40
  4. Step 4: Simplify right side
    472,194.20x = 222,339,297,008.22
  5. Step 5: Solve for x
    x = 222,339,297,008.22/472,194.20
  6. Step 6: Final answer
    x = 470,864.10

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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.