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Finding the Fourth Proportional to 564,878.52, 847,318.59 and 397,149.12

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Solution

The fourth proportional to 564,878.52, 847,318.59 and 397,149.12 is: 595,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,878.52 : 847,318.59 = 397,149.12 : x
  2. Step 2: Convert to fraction form
    564,878.52/847,318.59 = 397,149.12/x
  3. Step 3: Cross multiply
    564,878.52x = 847,318.59 × 397,149.12
  4. Step 4: Simplify right side
    564,878.52x = 336,511,832,378.14
  5. Step 5: Solve for x
    x = 336,511,832,378.14/564,878.52
  6. Step 6: Final answer
    x = 595,724.25

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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.