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Finding the Fourth Proportional to 405,926.28, 560,179.36 and 224,650.71

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Solution

The fourth proportional to 405,926.28, 560,179.36 and 224,650.71 is: 310,018.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,926.28 : 560,179.36 = 224,650.71 : x
  2. Step 2: Convert to fraction form
    405,926.28/560,179.36 = 224,650.71/x
  3. Step 3: Cross multiply
    405,926.28x = 560,179.36 × 224,650.71
  4. Step 4: Simplify right side
    405,926.28x = 125,844,690,951.35
  5. Step 5: Solve for x
    x = 125,844,690,951.35/405,926.28
  6. Step 6: Final answer
    x = 310,018.59

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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.