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Finding the Fourth Proportional to 356,622.40, 534,760.80 and 198,683.20

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Solution

The fourth proportional to 356,622.40, 534,760.80 and 198,683.20 is: 297,928.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,622.40 : 534,760.80 = 198,683.20 : x
  2. Step 2: Convert to fraction form
    356,622.40/534,760.80 = 198,683.20/x
  3. Step 3: Cross multiply
    356,622.40x = 534,760.80 × 198,683.20
  4. Step 4: Simplify right side
    356,622.40x = 106,247,986,978.56
  5. Step 5: Solve for x
    x = 106,247,986,978.56/356,622.40
  6. Step 6: Final answer
    x = 297,928.53

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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.