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Finding the Fourth Proportional to 411,151.27, 616,769.20 and 155,199.42

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Solution

The fourth proportional to 411,151.27, 616,769.20 and 155,199.42 is: 232,815.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,151.27 : 616,769.20 = 155,199.42 : x
  2. Step 2: Convert to fraction form
    411,151.27/616,769.20 = 155,199.42/x
  3. Step 3: Cross multiply
    411,151.27x = 616,769.20 × 155,199.42
  4. Step 4: Simplify right side
    411,151.27x = 95,722,223,821.45
  5. Step 5: Solve for x
    x = 95,722,223,821.45/411,151.27
  6. Step 6: Final answer
    x = 232,815.10

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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.