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Finding the Fourth Proportional to 564,706.58, 846,997.88 and 165,351.24

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Solution

The fourth proportional to 564,706.58, 846,997.88 and 165,351.24 is: 248,008.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,706.58 : 846,997.88 = 165,351.24 : x
  2. Step 2: Convert to fraction form
    564,706.58/846,997.88 = 165,351.24/x
  3. Step 3: Cross multiply
    564,706.58x = 846,997.88 × 165,351.24
  4. Step 4: Simplify right side
    564,706.58x = 140,052,148,908.62
  5. Step 5: Solve for x
    x = 140,052,148,908.62/564,706.58
  6. Step 6: Final answer
    x = 248,008.71

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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.