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Finding the Fourth Proportional to 498,335.85, 747,622.71 and 161,376.93

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Solution

The fourth proportional to 498,335.85, 747,622.71 and 161,376.93 is: 242,103.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,335.85 : 747,622.71 = 161,376.93 : x
  2. Step 2: Convert to fraction form
    498,335.85/747,622.71 = 161,376.93/x
  3. Step 3: Cross multiply
    498,335.85x = 747,622.71 × 161,376.93
  4. Step 4: Simplify right side
    498,335.85x = 120,649,057,738.08
  5. Step 5: Solve for x
    x = 120,649,057,738.08/498,335.85
  6. Step 6: Final answer
    x = 242,103.91

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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.