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Finding the Fourth Proportional to 400,154.95, 552,231.52 and 230,443.75

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Solution

The fourth proportional to 400,154.95, 552,231.52 and 230,443.75 is: 318,022.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,154.95 : 552,231.52 = 230,443.75 : x
  2. Step 2: Convert to fraction form
    400,154.95/552,231.52 = 230,443.75/x
  3. Step 3: Cross multiply
    400,154.95x = 552,231.52 × 230,443.75
  4. Step 4: Simplify right side
    400,154.95x = 127,258,303,747.43
  5. Step 5: Solve for x
    x = 127,258,303,747.43/400,154.95
  6. Step 6: Final answer
    x = 318,022.56

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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.