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Finding the Fourth Proportional to 406,158.56, 560,480.52 and 224,857.76

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Solution

The fourth proportional to 406,158.56, 560,480.52 and 224,857.76 is: 310,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,158.56 : 560,480.52 = 224,857.76 : x
  2. Step 2: Convert to fraction form
    406,158.56/560,480.52 = 224,857.76/x
  3. Step 3: Cross multiply
    406,158.56x = 560,480.52 × 224,857.76
  4. Step 4: Simplify right side
    406,158.56x = 126,028,394,250.84
  5. Step 5: Solve for x
    x = 126,028,394,250.84/406,158.56
  6. Step 6: Final answer
    x = 310,293.58

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1.5x scale

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.