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Finding the Fourth Proportional to 456,591.76, 684,867.96 and 119,625

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Solution

The fourth proportional to 456,591.76, 684,867.96 and 119,625 is: 179,432.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,591.76 : 684,867.96 = 119,625 : x
  2. Step 2: Convert to fraction form
    456,591.76/684,867.96 = 119,625/x
  3. Step 3: Cross multiply
    456,591.76x = 684,867.96 × 119,625
  4. Step 4: Simplify right side
    456,591.76x = 81,927,329,715
  5. Step 5: Solve for x
    x = 81,927,329,715/456,591.76
  6. Step 6: Final answer
    x = 179,432.34

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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.