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Finding the Fourth Proportional to 598,765.86, 826,316.90 and 326,849.87

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Solution

The fourth proportional to 598,765.86, 826,316.90 and 326,849.87 is: 451,063.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,765.86 : 826,316.90 = 326,849.87 : x
  2. Step 2: Convert to fraction form
    598,765.86/826,316.90 = 326,849.87/x
  3. Step 3: Cross multiply
    598,765.86x = 826,316.90 × 326,849.87
  4. Step 4: Simplify right side
    598,765.86x = 270,081,565,577.97
  5. Step 5: Solve for x
    x = 270,081,565,577.97/598,765.86
  6. Step 6: Final answer
    x = 451,063.74

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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.