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Finding the Fourth Proportional to 415,830.39, 573,846.35 and 224,843.73

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Solution

The fourth proportional to 415,830.39, 573,846.35 and 224,843.73 is: 310,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,830.39 : 573,846.35 = 224,843.73 : x
  2. Step 2: Convert to fraction form
    415,830.39/573,846.35 = 224,843.73/x
  3. Step 3: Cross multiply
    415,830.39x = 573,846.35 × 224,843.73
  4. Step 4: Simplify right side
    415,830.39x = 129,025,752,656.67
  5. Step 5: Solve for x
    x = 129,025,752,656.67/415,830.39
  6. Step 6: Final answer
    x = 310,284.57

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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.