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Finding the Fourth Proportional to 457,023.16, 630,616.86 and 287,137

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Solution

The fourth proportional to 457,023.16, 630,616.86 and 287,137 is: 396,201.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,023.16 : 630,616.86 = 287,137 : x
  2. Step 2: Convert to fraction form
    457,023.16/630,616.86 = 287,137/x
  3. Step 3: Cross multiply
    457,023.16x = 630,616.86 × 287,137
  4. Step 4: Simplify right side
    457,023.16x = 181,073,433,329.82
  5. Step 5: Solve for x
    x = 181,073,433,329.82/457,023.16
  6. Step 6: Final answer
    x = 396,201.88

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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.