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Finding the Fourth Proportional to 350,141.20, 525,211.80 and 314,711.80

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Solution

The fourth proportional to 350,141.20, 525,211.80 and 314,711.80 is: 472,067.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,141.20 : 525,211.80 = 314,711.80 : x
  2. Step 2: Convert to fraction form
    350,141.20/525,211.80 = 314,711.80/x
  3. Step 3: Cross multiply
    350,141.20x = 525,211.80 × 314,711.80
  4. Step 4: Simplify right side
    350,141.20x = 165,290,350,959.24
  5. Step 5: Solve for x
    x = 165,290,350,959.24/350,141.20
  6. Step 6: Final answer
    x = 472,067.70

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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.