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Finding the Fourth Proportional to 297,584, 410,691.25 and 168,545.43

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Solution

The fourth proportional to 297,584, 410,691.25 and 168,545.43 is: 232,607.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,584 : 410,691.25 = 168,545.43 : x
  2. Step 2: Convert to fraction form
    297,584/410,691.25 = 168,545.43/x
  3. Step 3: Cross multiply
    297,584x = 410,691.25 × 168,545.43
  4. Step 4: Simplify right side
    297,584x = 69,220,133,328.49
  5. Step 5: Solve for x
    x = 69,220,133,328.49/297,584
  6. Step 6: Final answer
    x = 232,607.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.