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Finding the Fourth Proportional to 410,769.60, 616,543.20 and 253,305.60

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Solution

The fourth proportional to 410,769.60, 616,543.20 and 253,305.60 is: 380,198.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,769.60 : 616,543.20 = 253,305.60 : x
  2. Step 2: Convert to fraction form
    410,769.60/616,543.20 = 253,305.60/x
  3. Step 3: Cross multiply
    410,769.60x = 616,543.20 × 253,305.60
  4. Step 4: Simplify right side
    410,769.60x = 156,173,845,201.92
  5. Step 5: Solve for x
    x = 156,173,845,201.92/410,769.60
  6. Step 6: Final answer
    x = 380,198.16

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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.