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Finding the Fourth Proportional to 418,295.48, 627,165.84 and 152,024.36

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Solution

The fourth proportional to 418,295.48, 627,165.84 and 152,024.36 is: 227,935.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,295.48 : 627,165.84 = 152,024.36 : x
  2. Step 2: Convert to fraction form
    418,295.48/627,165.84 = 152,024.36/x
  3. Step 3: Cross multiply
    418,295.48x = 627,165.84 × 152,024.36
  4. Step 4: Simplify right side
    418,295.48x = 95,344,485,439.86
  5. Step 5: Solve for x
    x = 95,344,485,439.86/418,295.48
  6. Step 6: Final answer
    x = 227,935.73

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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.