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Finding the Fourth Proportional to 395,731.20, 546,298.20 and 225,932.52

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Solution

The fourth proportional to 395,731.20, 546,298.20 and 225,932.52 is: 311,894.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,731.20 : 546,298.20 = 225,932.52 : x
  2. Step 2: Convert to fraction form
    395,731.20/546,298.20 = 225,932.52/x
  3. Step 3: Cross multiply
    395,731.20x = 546,298.20 × 225,932.52
  4. Step 4: Simplify right side
    395,731.20x = 123,426,528,997.46
  5. Step 5: Solve for x
    x = 123,426,528,997.46/395,731.20
  6. Step 6: Final answer
    x = 311,894.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.