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Finding the Fourth Proportional to 514,531.08, 771,978.06 and 159,634.44

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Solution

The fourth proportional to 514,531.08, 771,978.06 and 159,634.44 is: 239,507.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,531.08 : 771,978.06 = 159,634.44 : x
  2. Step 2: Convert to fraction form
    514,531.08/771,978.06 = 159,634.44/x
  3. Step 3: Cross multiply
    514,531.08x = 771,978.06 × 159,634.44
  4. Step 4: Simplify right side
    514,531.08x = 123,234,285,300.39
  5. Step 5: Solve for x
    x = 123,234,285,300.39/514,531.08
  6. Step 6: Final answer
    x = 239,507.95

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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.