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Finding the Fourth Proportional to 498,329.88, 747,613.74 and 161,370.90

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Solution

The fourth proportional to 498,329.88, 747,613.74 and 161,370.90 is: 242,094.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,329.88 : 747,613.74 = 161,370.90 : x
  2. Step 2: Convert to fraction form
    498,329.88/747,613.74 = 161,370.90/x
  3. Step 3: Cross multiply
    498,329.88x = 747,613.74 × 161,370.90
  4. Step 4: Simplify right side
    498,329.88x = 120,643,102,076.17
  5. Step 5: Solve for x
    x = 120,643,102,076.17/498,329.88
  6. Step 6: Final answer
    x = 242,094.86

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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.