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Finding the Fourth Proportional to 385,732.31, 578,690.81 and 160,967.69

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Solution

The fourth proportional to 385,732.31, 578,690.81 and 160,967.69 is: 241,490.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,732.31 : 578,690.81 = 160,967.69 : x
  2. Step 2: Convert to fraction form
    385,732.31/578,690.81 = 160,967.69/x
  3. Step 3: Cross multiply
    385,732.31x = 578,690.81 × 160,967.69
  4. Step 4: Simplify right side
    385,732.31x = 93,150,519,211.64
  5. Step 5: Solve for x
    x = 93,150,519,211.64/385,732.31
  6. Step 6: Final answer
    x = 241,490.06

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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.