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Finding the Fourth Proportional to 385,732.65, 578,691.36 and 160,968.06

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Solution

The fourth proportional to 385,732.65, 578,691.36 and 160,968.06 is: 241,490.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,732.65 : 578,691.36 = 160,968.06 : x
  2. Step 2: Convert to fraction form
    385,732.65/578,691.36 = 160,968.06/x
  3. Step 3: Cross multiply
    385,732.65x = 578,691.36 × 160,968.06
  4. Step 4: Simplify right side
    385,732.65x = 93,150,825,557.96
  5. Step 5: Solve for x
    x = 93,150,825,557.96/385,732.65
  6. Step 6: Final answer
    x = 241,490.64

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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.