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Finding the Fourth Proportional to 465,585.68, 698,612.24 and 212,843.66

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Solution

The fourth proportional to 465,585.68, 698,612.24 and 212,843.66 is: 319,372.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,585.68 : 698,612.24 = 212,843.66 : x
  2. Step 2: Convert to fraction form
    465,585.68/698,612.24 = 212,843.66/x
  3. Step 3: Cross multiply
    465,585.68x = 698,612.24 × 212,843.66
  4. Step 4: Simplify right side
    465,585.68x = 148,695,183,121.45
  5. Step 5: Solve for x
    x = 148,695,183,121.45/465,585.68
  6. Step 6: Final answer
    x = 319,372.33

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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.