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Finding the Fourth Proportional to 514,530.08, 771,976.56 and 159,633.44

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Solution

The fourth proportional to 514,530.08, 771,976.56 and 159,633.44 is: 239,506.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,530.08 : 771,976.56 = 159,633.44 : x
  2. Step 2: Convert to fraction form
    514,530.08/771,976.56 = 159,633.44/x
  3. Step 3: Cross multiply
    514,530.08x = 771,976.56 × 159,633.44
  4. Step 4: Simplify right side
    514,530.08x = 123,233,273,872.17
  5. Step 5: Solve for x
    x = 123,233,273,872.17/514,530.08
  6. Step 6: Final answer
    x = 239,506.45

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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.