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Finding the Fourth Proportional to 415,323.38, 573,146.51 and 224,336.77

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Solution

The fourth proportional to 415,323.38, 573,146.51 and 224,336.77 is: 309,584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,323.38 : 573,146.51 = 224,336.77 : x
  2. Step 2: Convert to fraction form
    415,323.38/573,146.51 = 224,336.77/x
  3. Step 3: Cross multiply
    415,323.38x = 573,146.51 × 224,336.77
  4. Step 4: Simplify right side
    415,323.38x = 128,577,834,235.62
  5. Step 5: Solve for x
    x = 128,577,834,235.62/415,323.38
  6. Step 6: Final answer
    x = 309,584.87

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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.