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Finding the Fourth Proportional to 406,257.02, 560,627.73 and 224,965.05

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Solution

The fourth proportional to 406,257.02, 560,627.73 and 224,965.05 is: 310,447.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,257.02 : 560,627.73 = 224,965.05 : x
  2. Step 2: Convert to fraction form
    406,257.02/560,627.73 = 224,965.05/x
  3. Step 3: Cross multiply
    406,257.02x = 560,627.73 × 224,965.05
  4. Step 4: Simplify right side
    406,257.02x = 126,121,645,310.84
  5. Step 5: Solve for x
    x = 126,121,645,310.84/406,257.02
  6. Step 6: Final answer
    x = 310,447.92

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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.