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Finding the Fourth Proportional to 408,750.56, 564,067.42 and 255,873.05

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Solution

The fourth proportional to 408,750.56, 564,067.42 and 255,873.05 is: 353,099.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,750.56 : 564,067.42 = 255,873.05 : x
  2. Step 2: Convert to fraction form
    408,750.56/564,067.42 = 255,873.05/x
  3. Step 3: Cross multiply
    408,750.56x = 564,067.42 × 255,873.05
  4. Step 4: Simplify right side
    408,750.56x = 144,329,651,931.52
  5. Step 5: Solve for x
    x = 144,329,651,931.52/408,750.56
  6. Step 6: Final answer
    x = 353,099.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.