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Finding the Fourth Proportional to 385,732.50, 578,691.08 and 160,967.87

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Solution

The fourth proportional to 385,732.50, 578,691.08 and 160,967.87 is: 241,490.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,732.50 : 578,691.08 = 160,967.87 : x
  2. Step 2: Convert to fraction form
    385,732.50/578,691.08 = 160,967.87/x
  3. Step 3: Cross multiply
    385,732.50x = 578,691.08 × 160,967.87
  4. Step 4: Simplify right side
    385,732.50x = 93,150,673,771.61
  5. Step 5: Solve for x
    x = 93,150,673,771.61/385,732.50
  6. Step 6: Final answer
    x = 241,490.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.