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Finding the Fourth Proportional to 354,880.80, 532,321.20 and 319,888.80

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Solution

The fourth proportional to 354,880.80, 532,321.20 and 319,888.80 is: 479,833.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,880.80 : 532,321.20 = 319,888.80 : x
  2. Step 2: Convert to fraction form
    354,880.80/532,321.20 = 319,888.80/x
  3. Step 3: Cross multiply
    354,880.80x = 532,321.20 × 319,888.80
  4. Step 4: Simplify right side
    354,880.80x = 170,283,589,882.56
  5. Step 5: Solve for x
    x = 170,283,589,882.56/354,880.80
  6. Step 6: Final answer
    x = 479,833.20

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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.