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Finding the Fourth Proportional to 465,587.68, 698,615.24 and 212,845.66

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Solution

The fourth proportional to 465,587.68, 698,615.24 and 212,845.66 is: 319,375.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,587.68 : 698,615.24 = 212,845.66 : x
  2. Step 2: Convert to fraction form
    465,587.68/698,615.24 = 212,845.66/x
  3. Step 3: Cross multiply
    465,587.68x = 698,615.24 × 212,845.66
  4. Step 4: Simplify right side
    465,587.68x = 148,697,221,843.86
  5. Step 5: Solve for x
    x = 148,697,221,843.86/465,587.68
  6. Step 6: Final answer
    x = 319,375.34

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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.