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Finding the Fourth Proportional to 514,348.28, 771,305.52 and 194,446.16

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Solution

The fourth proportional to 514,348.28, 771,305.52 and 194,446.16 is: 291,587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,348.28 : 771,305.52 = 194,446.16 : x
  2. Step 2: Convert to fraction form
    514,348.28/771,305.52 = 194,446.16/x
  3. Step 3: Cross multiply
    514,348.28x = 771,305.52 × 194,446.16
  4. Step 4: Simplify right side
    514,348.28x = 149,977,396,550.80
  5. Step 5: Solve for x
    x = 149,977,396,550.80/514,348.28
  6. Step 6: Final answer
    x = 291,587.24

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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.