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Finding the Fourth Proportional to 288,053.20, 431,302.20 and 225,845.20

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Solution

The fourth proportional to 288,053.20, 431,302.20 and 225,845.20 is: 338,158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,053.20 : 431,302.20 = 225,845.20 : x
  2. Step 2: Convert to fraction form
    288,053.20/431,302.20 = 225,845.20/x
  3. Step 3: Cross multiply
    288,053.20x = 431,302.20 × 225,845.20
  4. Step 4: Simplify right side
    288,053.20x = 97,407,531,619.44
  5. Step 5: Solve for x
    x = 97,407,531,619.44/288,053.20
  6. Step 6: Final answer
    x = 338,158.13

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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.