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Finding the Fourth Proportional to 520,032.10, 780,048.15 and 431,385.70

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Solution

The fourth proportional to 520,032.10, 780,048.15 and 431,385.70 is: 647,078.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,032.10 : 780,048.15 = 431,385.70 : x
  2. Step 2: Convert to fraction form
    520,032.10/780,048.15 = 431,385.70/x
  3. Step 3: Cross multiply
    520,032.10x = 780,048.15 × 431,385.70
  4. Step 4: Simplify right side
    520,032.10x = 336,501,617,221.46
  5. Step 5: Solve for x
    x = 336,501,617,221.46/520,032.10
  6. Step 6: Final answer
    x = 647,078.55

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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.