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Finding the Fourth Proportional to 415,709.84, 573,675.92 and 224,721.52

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Solution

The fourth proportional to 415,709.84, 573,675.92 and 224,721.52 is: 310,113.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,709.84 : 573,675.92 = 224,721.52 : x
  2. Step 2: Convert to fraction form
    415,709.84/573,675.92 = 224,721.52/x
  3. Step 3: Cross multiply
    415,709.84x = 573,675.92 × 224,721.52
  4. Step 4: Simplify right side
    415,709.84x = 128,917,324,729.80
  5. Step 5: Solve for x
    x = 128,917,324,729.80/415,709.84
  6. Step 6: Final answer
    x = 310,113.72

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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.