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Finding the Fourth Proportional to 498,611.52, 747,917.25 and 232,558.11

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Solution

The fourth proportional to 498,611.52, 747,917.25 and 232,558.11 is: 348,837.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,611.52 : 747,917.25 = 232,558.11 : x
  2. Step 2: Convert to fraction form
    498,611.52/747,917.25 = 232,558.11/x
  3. Step 3: Cross multiply
    498,611.52x = 747,917.25 × 232,558.11
  4. Step 4: Simplify right side
    498,611.52x = 173,934,222,096.40
  5. Step 5: Solve for x
    x = 173,934,222,096.40/498,611.52
  6. Step 6: Final answer
    x = 348,837.15

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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.