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Finding the Fourth Proportional to 458,856.46, 688,284.89 and 174,481.31

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Solution

The fourth proportional to 458,856.46, 688,284.89 and 174,481.31 is: 261,722.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,856.46 : 688,284.89 = 174,481.31 : x
  2. Step 2: Convert to fraction form
    458,856.46/688,284.89 = 174,481.31/x
  3. Step 3: Cross multiply
    458,856.46x = 688,284.89 × 174,481.31
  4. Step 4: Simplify right side
    458,856.46x = 120,092,849,324.73
  5. Step 5: Solve for x
    x = 120,092,849,324.73/458,856.46
  6. Step 6: Final answer
    x = 261,722.04

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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.