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Finding the Fourth Proportional to 407,816.80, 611,725.20 and 391,487.20

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Solution

The fourth proportional to 407,816.80, 611,725.20 and 391,487.20 is: 587,230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,816.80 : 611,725.20 = 391,487.20 : x
  2. Step 2: Convert to fraction form
    407,816.80/611,725.20 = 391,487.20/x
  3. Step 3: Cross multiply
    407,816.80x = 611,725.20 × 391,487.20
  4. Step 4: Simplify right side
    407,816.80x = 239,482,585,717.44
  5. Step 5: Solve for x
    x = 239,482,585,717.44/407,816.80
  6. Step 6: Final answer
    x = 587,230.80

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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.