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Finding the Fourth Proportional to 418,422.47, 627,598.16 and 165,634.23

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Solution

The fourth proportional to 418,422.47, 627,598.16 and 165,634.23 is: 248,437.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,422.47 : 627,598.16 = 165,634.23 : x
  2. Step 2: Convert to fraction form
    418,422.47/627,598.16 = 165,634.23/x
  3. Step 3: Cross multiply
    418,422.47x = 627,598.16 × 165,634.23
  4. Step 4: Simplify right side
    418,422.47x = 103,951,737,152.85
  5. Step 5: Solve for x
    x = 103,951,737,152.85/418,422.47
  6. Step 6: Final answer
    x = 248,437.27

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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.