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Finding the Fourth Proportional to 650,147.50, 897,243.33 and 363,686.86

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Solution

The fourth proportional to 650,147.50, 897,243.33 and 363,686.86 is: 501,910.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,147.50 : 897,243.33 = 363,686.86 : x
  2. Step 2: Convert to fraction form
    650,147.50/897,243.33 = 363,686.86/x
  3. Step 3: Cross multiply
    650,147.50x = 897,243.33 × 363,686.86
  4. Step 4: Simplify right side
    650,147.50x = 326,315,609,343.64
  5. Step 5: Solve for x
    x = 326,315,609,343.64/650,147.50
  6. Step 6: Final answer
    x = 501,910.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.