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Finding the Fourth Proportional to 435,129.17, 600,280.47 and 282,205.92

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Solution

The fourth proportional to 435,129.17, 600,280.47 and 282,205.92 is: 389,315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,129.17 : 600,280.47 = 282,205.92 : x
  2. Step 2: Convert to fraction form
    435,129.17/600,280.47 = 282,205.92/x
  3. Step 3: Cross multiply
    435,129.17x = 600,280.47 × 282,205.92
  4. Step 4: Simplify right side
    435,129.17x = 169,402,704,545.43
  5. Step 5: Solve for x
    x = 169,402,704,545.43/435,129.17
  6. Step 6: Final answer
    x = 389,315.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.