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Finding the Fourth Proportional to 399,097.20, 598,645.80 and 189,145.20

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Solution

The fourth proportional to 399,097.20, 598,645.80 and 189,145.20 is: 283,717.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,097.20 : 598,645.80 = 189,145.20 : x
  2. Step 2: Convert to fraction form
    399,097.20/598,645.80 = 189,145.20/x
  3. Step 3: Cross multiply
    399,097.20x = 598,645.80 × 189,145.20
  4. Step 4: Simplify right side
    399,097.20x = 113,230,979,570.16
  5. Step 5: Solve for x
    x = 113,230,979,570.16/399,097.20
  6. Step 6: Final answer
    x = 283,717.80

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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.