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Finding the Fourth Proportional to 498,535.79, 747,646.83 and 161,498.24

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Solution

The fourth proportional to 498,535.79, 747,646.83 and 161,498.24 is: 242,196.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,535.79 : 747,646.83 = 161,498.24 : x
  2. Step 2: Convert to fraction form
    498,535.79/747,646.83 = 161,498.24/x
  3. Step 3: Cross multiply
    498,535.79x = 747,646.83 × 161,498.24
  4. Step 4: Simplify right side
    498,535.79x = 120,743,647,186.58
  5. Step 5: Solve for x
    x = 120,743,647,186.58/498,535.79
  6. Step 6: Final answer
    x = 242,196.55

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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.