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Finding the Fourth Proportional to 461,951.76, 692,947.14 and 146,401.68

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Solution

The fourth proportional to 461,951.76, 692,947.14 and 146,401.68 is: 219,608.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,951.76 : 692,947.14 = 146,401.68 : x
  2. Step 2: Convert to fraction form
    461,951.76/692,947.14 = 146,401.68/x
  3. Step 3: Cross multiply
    461,951.76x = 692,947.14 × 146,401.68
  4. Step 4: Simplify right side
    461,951.76x = 101,448,625,447.20
  5. Step 5: Solve for x
    x = 101,448,625,447.20/461,951.76
  6. Step 6: Final answer
    x = 219,608.70

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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.