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Finding the Fourth Proportional to 506,037.60, 758,959.20 and 151,063.20

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Solution

The fourth proportional to 506,037.60, 758,959.20 and 151,063.20 is: 226,565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,037.60 : 758,959.20 = 151,063.20 : x
  2. Step 2: Convert to fraction form
    506,037.60/758,959.20 = 151,063.20/x
  3. Step 3: Cross multiply
    506,037.60x = 758,959.20 × 151,063.20
  4. Step 4: Simplify right side
    506,037.60x = 114,650,805,421.44
  5. Step 5: Solve for x
    x = 114,650,805,421.44/506,037.60
  6. Step 6: Final answer
    x = 226,565.78

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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.