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Finding the Fourth Proportional to 399,148.40, 598,805.80 and 132,991.60

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Solution

The fourth proportional to 399,148.40, 598,805.80 and 132,991.60 is: 199,515.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,148.40 : 598,805.80 = 132,991.60 : x
  2. Step 2: Convert to fraction form
    399,148.40/598,805.80 = 132,991.60/x
  3. Step 3: Cross multiply
    399,148.40x = 598,805.80 × 132,991.60
  4. Step 4: Simplify right side
    399,148.40x = 79,636,141,431.28
  5. Step 5: Solve for x
    x = 79,636,141,431.28/399,148.40
  6. Step 6: Final answer
    x = 199,515.12

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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.