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Finding the Fourth Proportional to 393,586.80, 590,380.20 and 314,854.80

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Solution

The fourth proportional to 393,586.80, 590,380.20 and 314,854.80 is: 472,282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,586.80 : 590,380.20 = 314,854.80 : x
  2. Step 2: Convert to fraction form
    393,586.80/590,380.20 = 314,854.80/x
  3. Step 3: Cross multiply
    393,586.80x = 590,380.20 × 314,854.80
  4. Step 4: Simplify right side
    393,586.80x = 185,884,039,794.96
  5. Step 5: Solve for x
    x = 185,884,039,794.96/393,586.80
  6. Step 6: Final answer
    x = 472,282.20

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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.