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Finding the Fourth Proportional to 564,871.59, 847,307.01 and 165,512.13

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Solution

The fourth proportional to 564,871.59, 847,307.01 and 165,512.13 is: 248,268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,871.59 : 847,307.01 = 165,512.13 : x
  2. Step 2: Convert to fraction form
    564,871.59/847,307.01 = 165,512.13/x
  3. Step 3: Cross multiply
    564,871.59x = 847,307.01 × 165,512.13
  4. Step 4: Simplify right side
    564,871.59x = 140,239,587,989.03
  5. Step 5: Solve for x
    x = 140,239,587,989.03/564,871.59
  6. Step 6: Final answer
    x = 248,268.09

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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.