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Finding the Fourth Proportional to 498,429.69, 747,608.26 and 194,766.97

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Solution

The fourth proportional to 498,429.69, 747,608.26 and 194,766.97 is: 292,136.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,429.69 : 747,608.26 = 194,766.97 : x
  2. Step 2: Convert to fraction form
    498,429.69/747,608.26 = 194,766.97/x
  3. Step 3: Cross multiply
    498,429.69x = 747,608.26 × 194,766.97
  4. Step 4: Simplify right side
    498,429.69x = 145,609,395,547.17
  5. Step 5: Solve for x
    x = 145,609,395,547.17/498,429.69
  6. Step 6: Final answer
    x = 292,136.28

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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.