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Finding the Fourth Proportional to 418,453.92, 627,535.44 and 178,558.11

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Solution

The fourth proportional to 418,453.92, 627,535.44 and 178,558.11 is: 267,775.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,453.92 : 627,535.44 = 178,558.11 : x
  2. Step 2: Convert to fraction form
    418,453.92/627,535.44 = 178,558.11/x
  3. Step 3: Cross multiply
    418,453.92x = 627,535.44 × 178,558.11
  4. Step 4: Simplify right side
    418,453.92x = 112,051,542,124.42
  5. Step 5: Solve for x
    x = 112,051,542,124.42/418,453.92
  6. Step 6: Final answer
    x = 267,775.10

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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.