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Finding the Fourth Proportional to 385,726.75, 578,682.46 and 160,962.12

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Solution

The fourth proportional to 385,726.75, 578,682.46 and 160,962.12 is: 241,481.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,726.75 : 578,682.46 = 160,962.12 : x
  2. Step 2: Convert to fraction form
    385,726.75/578,682.46 = 160,962.12/x
  3. Step 3: Cross multiply
    385,726.75x = 578,682.46 × 160,962.12
  4. Step 4: Simplify right side
    385,726.75x = 93,145,955,568.42
  5. Step 5: Solve for x
    x = 93,145,955,568.42/385,726.75
  6. Step 6: Final answer
    x = 241,481.71

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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.