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Finding the Fourth Proportional to 418,370.24, 627,822.24 and 152,105.20

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Solution

The fourth proportional to 418,370.24, 627,822.24 and 152,105.20 is: 228,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,370.24 : 627,822.24 = 152,105.20 : x
  2. Step 2: Convert to fraction form
    418,370.24/627,822.24 = 152,105.20/x
  3. Step 3: Cross multiply
    418,370.24x = 627,822.24 × 152,105.20
  4. Step 4: Simplify right side
    418,370.24x = 95,495,027,379.65
  5. Step 5: Solve for x
    x = 95,495,027,379.65/418,370.24
  6. Step 6: Final answer
    x = 228,254.83

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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.