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Finding the Fourth Proportional to 400,223.78, 552,322 and 218,931.56

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Solution

The fourth proportional to 400,223.78, 552,322 and 218,931.56 is: 302,132.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,223.78 : 552,322 = 218,931.56 : x
  2. Step 2: Convert to fraction form
    400,223.78/552,322 = 218,931.56/x
  3. Step 3: Cross multiply
    400,223.78x = 552,322 × 218,931.56
  4. Step 4: Simplify right side
    400,223.78x = 120,920,717,082.32
  5. Step 5: Solve for x
    x = 120,920,717,082.32/400,223.78
  6. Step 6: Final answer
    x = 302,132.76

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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.