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Finding the Fourth Proportional to 311,034.47, 466,625.88 and 100,672.47

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Solution

The fourth proportional to 311,034.47, 466,625.88 and 100,672.47 is: 151,032.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,034.47 : 466,625.88 = 100,672.47 : x
  2. Step 2: Convert to fraction form
    311,034.47/466,625.88 = 100,672.47/x
  3. Step 3: Cross multiply
    311,034.47x = 466,625.88 × 100,672.47
  4. Step 4: Simplify right side
    311,034.47x = 46,976,379,905.52
  5. Step 5: Solve for x
    x = 46,976,379,905.52/311,034.47
  6. Step 6: Final answer
    x = 151,032.72

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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.