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Finding the Fourth Proportional to 363,261.56, 501,288.48 and 202,123.40

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Solution

The fourth proportional to 363,261.56, 501,288.48 and 202,123.40 is: 278,923.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,261.56 : 501,288.48 = 202,123.40 : x
  2. Step 2: Convert to fraction form
    363,261.56/501,288.48 = 202,123.40/x
  3. Step 3: Cross multiply
    363,261.56x = 501,288.48 × 202,123.40
  4. Step 4: Simplify right side
    363,261.56x = 101,322,129,451.99
  5. Step 5: Solve for x
    x = 101,322,129,451.99/363,261.56
  6. Step 6: Final answer
    x = 278,923.35

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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.