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Finding the Fourth Proportional to 522,727.29, 784,200.42 and 162,889.38

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Solution

The fourth proportional to 522,727.29, 784,200.42 and 162,889.38 is: 244,368.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,727.29 : 784,200.42 = 162,889.38 : x
  2. Step 2: Convert to fraction form
    522,727.29/784,200.42 = 162,889.38/x
  3. Step 3: Cross multiply
    522,727.29x = 784,200.42 × 162,889.38
  4. Step 4: Simplify right side
    522,727.29x = 127,737,920,209.54
  5. Step 5: Solve for x
    x = 127,737,920,209.54/522,727.29
  6. Step 6: Final answer
    x = 244,368.19

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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.