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Finding the Fourth Proportional to 472,001.20, 707,224.20 and 402,017.20

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Solution

The fourth proportional to 472,001.20, 707,224.20 and 402,017.20 is: 602,363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,001.20 : 707,224.20 = 402,017.20 : x
  2. Step 2: Convert to fraction form
    472,001.20/707,224.20 = 402,017.20/x
  3. Step 3: Cross multiply
    472,001.20x = 707,224.20 × 402,017.20
  4. Step 4: Simplify right side
    472,001.20x = 284,316,292,656.24
  5. Step 5: Solve for x
    x = 284,316,292,656.24/472,001.20
  6. Step 6: Final answer
    x = 602,363.50

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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.