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Finding the Fourth Proportional to 564,854.04, 847,397.70 and 165,507.84

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Solution

The fourth proportional to 564,854.04, 847,397.70 and 165,507.84 is: 248,295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,854.04 : 847,397.70 = 165,507.84 : x
  2. Step 2: Convert to fraction form
    564,854.04/847,397.70 = 165,507.84/x
  3. Step 3: Cross multiply
    564,854.04x = 847,397.70 × 165,507.84
  4. Step 4: Simplify right side
    564,854.04x = 140,250,962,947.97
  5. Step 5: Solve for x
    x = 140,250,962,947.97/564,854.04
  6. Step 6: Final answer
    x = 248,295.94

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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.