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Finding the Fourth Proportional to 598,352.80, 897,082.80 and 361,645.60

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Solution

The fourth proportional to 598,352.80, 897,082.80 and 361,645.60 is: 542,198.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,352.80 : 897,082.80 = 361,645.60 : x
  2. Step 2: Convert to fraction form
    598,352.80/897,082.80 = 361,645.60/x
  3. Step 3: Cross multiply
    598,352.80x = 897,082.80 × 361,645.60
  4. Step 4: Simplify right side
    598,352.80x = 324,426,047,455.68
  5. Step 5: Solve for x
    x = 324,426,047,455.68/598,352.80
  6. Step 6: Final answer
    x = 542,198.59

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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.