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Finding the Fourth Proportional to 463,511.48, 694,996.54 and 197,134.88

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Solution

The fourth proportional to 463,511.48, 694,996.54 and 197,134.88 is: 295,587.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,511.48 : 694,996.54 = 197,134.88 : x
  2. Step 2: Convert to fraction form
    463,511.48/694,996.54 = 197,134.88/x
  3. Step 3: Cross multiply
    463,511.48x = 694,996.54 × 197,134.88
  4. Step 4: Simplify right side
    463,511.48x = 137,008,055,545.50
  5. Step 5: Solve for x
    x = 137,008,055,545.50/463,511.48
  6. Step 6: Final answer
    x = 295,587.19

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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.