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Finding the Fourth Proportional to 498,618.32, 747,511.14 and 232,241.72

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Solution

The fourth proportional to 498,618.32, 747,511.14 and 232,241.72 is: 348,168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,618.32 : 747,511.14 = 232,241.72 : x
  2. Step 2: Convert to fraction form
    498,618.32/747,511.14 = 232,241.72/x
  3. Step 3: Cross multiply
    498,618.32x = 747,511.14 × 232,241.72
  4. Step 4: Simplify right side
    498,618.32x = 173,603,272,872.76
  5. Step 5: Solve for x
    x = 173,603,272,872.76/498,618.32
  6. Step 6: Final answer
    x = 348,168.66

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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.