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Finding the Fourth Proportional to 467,827.20, 701,740.80 and 255,250.80

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Solution

The fourth proportional to 467,827.20, 701,740.80 and 255,250.80 is: 382,876.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,827.20 : 701,740.80 = 255,250.80 : x
  2. Step 2: Convert to fraction form
    467,827.20/701,740.80 = 255,250.80/x
  3. Step 3: Cross multiply
    467,827.20x = 701,740.80 × 255,250.80
  4. Step 4: Simplify right side
    467,827.20x = 179,119,900,592.64
  5. Step 5: Solve for x
    x = 179,119,900,592.64/467,827.20
  6. Step 6: Final answer
    x = 382,876.20

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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.