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Finding the Fourth Proportional to 539,543.71, 809,315.02 and 160,462.90

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Solution

The fourth proportional to 539,543.71, 809,315.02 and 160,462.90 is: 240,694.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,543.71 : 809,315.02 = 160,462.90 : x
  2. Step 2: Convert to fraction form
    539,543.71/809,315.02 = 160,462.90/x
  3. Step 3: Cross multiply
    539,543.71x = 809,315.02 × 160,462.90
  4. Step 4: Simplify right side
    539,543.71x = 129,865,035,122.76
  5. Step 5: Solve for x
    x = 129,865,035,122.76/539,543.71
  6. Step 6: Final answer
    x = 240,694.19

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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.