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Finding the Fourth Proportional to 514,589.76, 771,826.32 and 198,961.92

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Solution

The fourth proportional to 514,589.76, 771,826.32 and 198,961.92 is: 298,420.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,589.76 : 771,826.32 = 198,961.92 : x
  2. Step 2: Convert to fraction form
    514,589.76/771,826.32 = 198,961.92/x
  3. Step 3: Cross multiply
    514,589.76x = 771,826.32 × 198,961.92
  4. Step 4: Simplify right side
    514,589.76x = 153,564,046,533.73
  5. Step 5: Solve for x
    x = 153,564,046,533.73/514,589.76
  6. Step 6: Final answer
    x = 298,420.33

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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.