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Finding the Fourth Proportional to 275,677.20, 413,904.60 and 170,701.20

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Solution

The fourth proportional to 275,677.20, 413,904.60 and 170,701.20 is: 256,292.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,677.20 : 413,904.60 = 170,701.20 : x
  2. Step 2: Convert to fraction form
    275,677.20/413,904.60 = 170,701.20/x
  3. Step 3: Cross multiply
    275,677.20x = 413,904.60 × 170,701.20
  4. Step 4: Simplify right side
    275,677.20x = 70,654,011,905.52
  5. Step 5: Solve for x
    x = 70,654,011,905.52/275,677.20
  6. Step 6: Final answer
    x = 256,292.55

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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.