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Finding the Fourth Proportional to 415,743.66, 573,726.11 and 224,757

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Solution

The fourth proportional to 415,743.66, 573,726.11 and 224,757 is: 310,164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,743.66 : 573,726.11 = 224,757 : x
  2. Step 2: Convert to fraction form
    415,743.66/573,726.11 = 224,757/x
  3. Step 3: Cross multiply
    415,743.66x = 573,726.11 × 224,757
  4. Step 4: Simplify right side
    415,743.66x = 128,948,958,181.49
  5. Step 5: Solve for x
    x = 128,948,958,181.49/415,743.66
  6. Step 6: Final answer
    x = 310,164.58

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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.