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Finding the Fourth Proportional to 564,876.59, 847,321.72 and 165,525.46

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Solution

The fourth proportional to 564,876.59, 847,321.72 and 165,525.46 is: 248,290.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,876.59 : 847,321.72 = 165,525.46 : x
  2. Step 2: Convert to fraction form
    564,876.59/847,321.72 = 165,525.46/x
  3. Step 3: Cross multiply
    564,876.59x = 847,321.72 × 165,525.46
  4. Step 4: Simplify right side
    564,876.59x = 140,253,314,938.87
  5. Step 5: Solve for x
    x = 140,253,314,938.87/564,876.59
  6. Step 6: Final answer
    x = 248,290.19

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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.