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Finding the Fourth Proportional to 410,147.70, 615,221.55 and 345,193.80

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Solution

The fourth proportional to 410,147.70, 615,221.55 and 345,193.80 is: 517,790.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,147.70 : 615,221.55 = 345,193.80 : x
  2. Step 2: Convert to fraction form
    410,147.70/615,221.55 = 345,193.80/x
  3. Step 3: Cross multiply
    410,147.70x = 615,221.55 × 345,193.80
  4. Step 4: Simplify right side
    410,147.70x = 212,370,664,686.39
  5. Step 5: Solve for x
    x = 212,370,664,686.39/410,147.70
  6. Step 6: Final answer
    x = 517,790.70

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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.