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Finding the Fourth Proportional to 418,314.48, 627,466.25 and 102,774.12

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Solution

The fourth proportional to 418,314.48, 627,466.25 and 102,774.12 is: 154,159.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,314.48 : 627,466.25 = 102,774.12 : x
  2. Step 2: Convert to fraction form
    418,314.48/627,466.25 = 102,774.12/x
  3. Step 3: Cross multiply
    418,314.48x = 627,466.25 × 102,774.12
  4. Step 4: Simplify right side
    418,314.48x = 64,487,288,999.28
  5. Step 5: Solve for x
    x = 64,487,288,999.28/418,314.48
  6. Step 6: Final answer
    x = 154,159.83

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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.