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Finding the Fourth Proportional to 402,020.52, 603,044.10 and 202,232.04

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Solution

The fourth proportional to 402,020.52, 603,044.10 and 202,232.04 is: 303,354.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,020.52 : 603,044.10 = 202,232.04 : x
  2. Step 2: Convert to fraction form
    402,020.52/603,044.10 = 202,232.04/x
  3. Step 3: Cross multiply
    402,020.52x = 603,044.10 × 202,232.04
  4. Step 4: Simplify right side
    402,020.52x = 121,954,838,552.96
  5. Step 5: Solve for x
    x = 121,954,838,552.96/402,020.52
  6. Step 6: Final answer
    x = 303,354.76

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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.