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Finding the Fourth Proportional to 356,301.56, 491,574.10 and 203,229.76

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Solution

The fourth proportional to 356,301.56, 491,574.10 and 203,229.76 is: 280,387.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,301.56 : 491,574.10 = 203,229.76 : x
  2. Step 2: Convert to fraction form
    356,301.56/491,574.10 = 203,229.76/x
  3. Step 3: Cross multiply
    356,301.56x = 491,574.10 × 203,229.76
  4. Step 4: Simplify right side
    356,301.56x = 99,902,486,365.22
  5. Step 5: Solve for x
    x = 99,902,486,365.22/356,301.56
  6. Step 6: Final answer
    x = 280,387.45

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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.