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Finding the Fourth Proportional to 400,561.42, 552,758.08 and 219,268.84

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Solution

The fourth proportional to 400,561.42, 552,758.08 and 219,268.84 is: 302,581.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,561.42 : 552,758.08 = 219,268.84 : x
  2. Step 2: Convert to fraction form
    400,561.42/552,758.08 = 219,268.84/x
  3. Step 3: Cross multiply
    400,561.42x = 552,758.08 × 219,268.84
  4. Step 4: Simplify right side
    400,561.42x = 121,202,623,002.23
  5. Step 5: Solve for x
    x = 121,202,623,002.23/400,561.42
  6. Step 6: Final answer
    x = 302,581.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.