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Finding the Fourth Proportional to 280,238.19, 420,357.75 and 224,433.24

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Solution

The fourth proportional to 280,238.19, 420,357.75 and 224,433.24 is: 336,650.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,238.19 : 420,357.75 = 224,433.24 : x
  2. Step 2: Convert to fraction form
    280,238.19/420,357.75 = 224,433.24/x
  3. Step 3: Cross multiply
    280,238.19x = 420,357.75 × 224,433.24
  4. Step 4: Simplify right side
    280,238.19x = 94,342,251,791.61
  5. Step 5: Solve for x
    x = 94,342,251,791.61/280,238.19
  6. Step 6: Final answer
    x = 336,650.23

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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.