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Finding the Fourth Proportional to 257,648.80, 386,473.20 and 195,440.80

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Solution

The fourth proportional to 257,648.80, 386,473.20 and 195,440.80 is: 293,161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,648.80 : 386,473.20 = 195,440.80 : x
  2. Step 2: Convert to fraction form
    257,648.80/386,473.20 = 195,440.80/x
  3. Step 3: Cross multiply
    257,648.80x = 386,473.20 × 195,440.80
  4. Step 4: Simplify right side
    257,648.80x = 75,532,631,386.56
  5. Step 5: Solve for x
    x = 75,532,631,386.56/257,648.80
  6. Step 6: Final answer
    x = 293,161.20

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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.