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Finding the Fourth Proportional to 467,873.20, 701,809.80 and 408,824.20

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Solution

The fourth proportional to 467,873.20, 701,809.80 and 408,824.20 is: 613,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,873.20 : 701,809.80 = 408,824.20 : x
  2. Step 2: Convert to fraction form
    467,873.20/701,809.80 = 408,824.20/x
  3. Step 3: Cross multiply
    467,873.20x = 701,809.80 × 408,824.20
  4. Step 4: Simplify right side
    467,873.20x = 286,916,830,037.16
  5. Step 5: Solve for x
    x = 286,916,830,037.16/467,873.20
  6. Step 6: Final answer
    x = 613,236.30

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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.