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Finding the Fourth Proportional to 418,435.46, 627,299.49 and 181,600.10

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Solution

The fourth proportional to 418,435.46, 627,299.49 and 181,600.10 is: 272,246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,435.46 : 627,299.49 = 181,600.10 : x
  2. Step 2: Convert to fraction form
    418,435.46/627,299.49 = 181,600.10/x
  3. Step 3: Cross multiply
    418,435.46x = 627,299.49 × 181,600.10
  4. Step 4: Simplify right side
    418,435.46x = 113,917,650,113.95
  5. Step 5: Solve for x
    x = 113,917,650,113.95/418,435.46
  6. Step 6: Final answer
    x = 272,246.64

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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.