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Finding the Fourth Proportional to 385,644.60, 578,372.49 and 161,006.89

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Solution

The fourth proportional to 385,644.60, 578,372.49 and 161,006.89 is: 241,470.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,644.60 : 578,372.49 = 161,006.89 : x
  2. Step 2: Convert to fraction form
    385,644.60/578,372.49 = 161,006.89/x
  3. Step 3: Cross multiply
    385,644.60x = 578,372.49 × 161,006.89
  4. Step 4: Simplify right side
    385,644.60x = 93,121,955,876.46
  5. Step 5: Solve for x
    x = 93,121,955,876.46/385,644.60
  6. Step 6: Final answer
    x = 241,470.92

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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.