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Finding the Fourth Proportional to 498,514.10, 747,864.02 and 161,524.67

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Solution

The fourth proportional to 498,514.10, 747,864.02 and 161,524.67 is: 242,317.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,514.10 : 747,864.02 = 161,524.67 : x
  2. Step 2: Convert to fraction form
    498,514.10/747,864.02 = 161,524.67/x
  3. Step 3: Cross multiply
    498,514.10x = 747,864.02 × 161,524.67
  4. Step 4: Simplify right side
    498,514.10x = 120,798,485,699.87
  5. Step 5: Solve for x
    x = 120,798,485,699.87/498,514.10
  6. Step 6: Final answer
    x = 242,317.09

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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.