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Finding the Fourth Proportional to 467,895.20, 701,842.80 and 408,846.20

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Solution

The fourth proportional to 467,895.20, 701,842.80 and 408,846.20 is: 613,269.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,895.20 : 701,842.80 = 408,846.20 : x
  2. Step 2: Convert to fraction form
    467,895.20/701,842.80 = 408,846.20/x
  3. Step 3: Cross multiply
    467,895.20x = 701,842.80 × 408,846.20
  4. Step 4: Simplify right side
    467,895.20x = 286,945,761,777.36
  5. Step 5: Solve for x
    x = 286,945,761,777.36/467,895.20
  6. Step 6: Final answer
    x = 613,269.30

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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.