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Finding the Fourth Proportional to 418,252.47, 627,025.98 and 181,416.84

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Solution

The fourth proportional to 418,252.47, 627,025.98 and 181,416.84 is: 271,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,252.47 : 627,025.98 = 181,416.84 : x
  2. Step 2: Convert to fraction form
    418,252.47/627,025.98 = 181,416.84/x
  3. Step 3: Cross multiply
    418,252.47x = 627,025.98 × 181,416.84
  4. Step 4: Simplify right side
    418,252.47x = 113,753,071,889.50
  5. Step 5: Solve for x
    x = 113,753,071,889.50/418,252.47
  6. Step 6: Final answer
    x = 271,972.27

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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.