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Finding the Fourth Proportional to 514,490.24, 771,764.49 and 159,554.72

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Solution

The fourth proportional to 514,490.24, 771,764.49 and 159,554.72 is: 239,341.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,490.24 : 771,764.49 = 159,554.72 : x
  2. Step 2: Convert to fraction form
    514,490.24/771,764.49 = 159,554.72/x
  3. Step 3: Cross multiply
    514,490.24x = 771,764.49 × 159,554.72
  4. Step 4: Simplify right side
    514,490.24x = 123,138,667,107.89
  5. Step 5: Solve for x
    x = 123,138,667,107.89/514,490.24
  6. Step 6: Final answer
    x = 239,341.11

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Why These Related Problems?

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