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Finding the Fourth Proportional to 514,738.65, 772,210.04 and 159,737.52

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Solution

The fourth proportional to 514,738.65, 772,210.04 and 159,737.52 is: 239,637.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,738.65 : 772,210.04 = 159,737.52 : x
  2. Step 2: Convert to fraction form
    514,738.65/772,210.04 = 159,737.52/x
  3. Step 3: Cross multiply
    514,738.65x = 772,210.04 × 159,737.52
  4. Step 4: Simplify right side
    514,738.65x = 123,350,915,910.01
  5. Step 5: Solve for x
    x = 123,350,915,910.01/514,738.65
  6. Step 6: Final answer
    x = 239,637.95

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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.