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Finding the Fourth Proportional to 564,874.48, 847,318.57 and 165,523.35

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Solution

The fourth proportional to 564,874.48, 847,318.57 and 165,523.35 is: 248,287.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,874.48 : 847,318.57 = 165,523.35 : x
  2. Step 2: Convert to fraction form
    564,874.48/847,318.57 = 165,523.35/x
  3. Step 3: Cross multiply
    564,874.48x = 847,318.57 × 165,523.35
  4. Step 4: Simplify right side
    564,874.48x = 140,251,008,223.61
  5. Step 5: Solve for x
    x = 140,251,008,223.61/564,874.48
  6. Step 6: Final answer
    x = 248,287.03

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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.