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Finding the Fourth Proportional to 598,849.92, 826,416 and 330,577.92

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Solution

The fourth proportional to 598,849.92, 826,416 and 330,577.92 is: 456,199.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,849.92 : 826,416 = 330,577.92 : x
  2. Step 2: Convert to fraction form
    598,849.92/826,416 = 330,577.92/x
  3. Step 3: Cross multiply
    598,849.92x = 826,416 × 330,577.92
  4. Step 4: Simplify right side
    598,849.92x = 273,194,882,334.72
  5. Step 5: Solve for x
    x = 273,194,882,334.72/598,849.92
  6. Step 6: Final answer
    x = 456,199.25

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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.