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Finding the Fourth Proportional to 275,434.90, 413,119.55 and 75,775.58

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Solution

The fourth proportional to 275,434.90, 413,119.55 and 75,775.58 is: 113,654.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,434.90 : 413,119.55 = 75,775.58 : x
  2. Step 2: Convert to fraction form
    275,434.90/413,119.55 = 75,775.58/x
  3. Step 3: Cross multiply
    275,434.90x = 413,119.55 × 75,775.58
  4. Step 4: Simplify right side
    275,434.90x = 31,304,373,510.59
  5. Step 5: Solve for x
    x = 31,304,373,510.59/275,434.90
  6. Step 6: Final answer
    x = 113,654.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.