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Finding the Fourth Proportional to 349,616.16, 524,947.68 and 200,025.12

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Solution

The fourth proportional to 349,616.16, 524,947.68 and 200,025.12 is: 300,337.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,616.16 : 524,947.68 = 200,025.12 : x
  2. Step 2: Convert to fraction form
    349,616.16/524,947.68 = 200,025.12/x
  3. Step 3: Cross multiply
    349,616.16x = 524,947.68 × 200,025.12
  4. Step 4: Simplify right side
    349,616.16x = 105,002,722,685.72
  5. Step 5: Solve for x
    x = 105,002,722,685.72/349,616.16
  6. Step 6: Final answer
    x = 300,337.15

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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.