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Finding the Fourth Proportional to 552,021.60, 827,449.20 and 314,853.60

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Solution

The fourth proportional to 552,021.60, 827,449.20 and 314,853.60 is: 471,947.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,021.60 : 827,449.20 = 314,853.60 : x
  2. Step 2: Convert to fraction form
    552,021.60/827,449.20 = 314,853.60/x
  3. Step 3: Cross multiply
    552,021.60x = 827,449.20 × 314,853.60
  4. Step 4: Simplify right side
    552,021.60x = 260,525,359,437.12
  5. Step 5: Solve for x
    x = 260,525,359,437.12/552,021.60
  6. Step 6: Final answer
    x = 471,947.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.