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Finding the Fourth Proportional to 498,045.88, 747,164.79 and 161,170.12

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Solution

The fourth proportional to 498,045.88, 747,164.79 and 161,170.12 is: 241,786.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,045.88 : 747,164.79 = 161,170.12 : x
  2. Step 2: Convert to fraction form
    498,045.88/747,164.79 = 161,170.12/x
  3. Step 3: Cross multiply
    498,045.88x = 747,164.79 × 161,170.12
  4. Step 4: Simplify right side
    498,045.88x = 120,420,638,864.08
  5. Step 5: Solve for x
    x = 120,420,638,864.08/498,045.88
  6. Step 6: Final answer
    x = 241,786.24

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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.