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Finding the Fourth Proportional to 564,876.17, 847,321.10 and 165,525.04

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Solution

The fourth proportional to 564,876.17, 847,321.10 and 165,525.04 is: 248,289.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,876.17 : 847,321.10 = 165,525.04 : x
  2. Step 2: Convert to fraction form
    564,876.17/847,321.10 = 165,525.04/x
  3. Step 3: Cross multiply
    564,876.17x = 847,321.10 × 165,525.04
  4. Step 4: Simplify right side
    564,876.17x = 140,252,858,970.34
  5. Step 5: Solve for x
    x = 140,252,858,970.34/564,876.17
  6. Step 6: Final answer
    x = 248,289.57

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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.