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Finding the Fourth Proportional to 331,564.74, 497,444.16 and 106,920.66

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Solution

The fourth proportional to 331,564.74, 497,444.16 and 106,920.66 is: 160,412.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,564.74 : 497,444.16 = 106,920.66 : x
  2. Step 2: Convert to fraction form
    331,564.74/497,444.16 = 106,920.66/x
  3. Step 3: Cross multiply
    331,564.74x = 497,444.16 × 106,920.66
  4. Step 4: Simplify right side
    331,564.74x = 53,187,057,900.35
  5. Step 5: Solve for x
    x = 53,187,057,900.35/331,564.74
  6. Step 6: Final answer
    x = 160,412.29

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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.