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Finding the Fourth Proportional to 331,609.76, 497,511.51 and 106,965.21

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Solution

The fourth proportional to 331,609.76, 497,511.51 and 106,965.21 is: 160,479.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,609.76 : 497,511.51 = 106,965.21 : x
  2. Step 2: Convert to fraction form
    331,609.76/497,511.51 = 106,965.21/x
  3. Step 3: Cross multiply
    331,609.76x = 497,511.51 × 106,965.21
  4. Step 4: Simplify right side
    331,609.76x = 53,216,423,144.57
  5. Step 5: Solve for x
    x = 53,216,423,144.57/331,609.76
  6. Step 6: Final answer
    x = 160,479.06

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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.