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Finding the Fourth Proportional to 318,643.20, 477,964.80 and 268,876.80

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Solution

The fourth proportional to 318,643.20, 477,964.80 and 268,876.80 is: 403,315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,643.20 : 477,964.80 = 268,876.80 : x
  2. Step 2: Convert to fraction form
    318,643.20/477,964.80 = 268,876.80/x
  3. Step 3: Cross multiply
    318,643.20x = 477,964.80 × 268,876.80
  4. Step 4: Simplify right side
    318,643.20x = 128,513,645,936.64
  5. Step 5: Solve for x
    x = 128,513,645,936.64/318,643.20
  6. Step 6: Final answer
    x = 403,315.20

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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.