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Finding the Fourth Proportional to 247,864.64, 371,682.14 and 200,363.00

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Solution

The fourth proportional to 247,864.64, 371,682.14 and 200,363.00 is: 300,451.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,864.64 : 371,682.14 = 200,363.00 : x
  2. Step 2: Convert to fraction form
    247,864.64/371,682.14 = 200,363.00/x
  3. Step 3: Cross multiply
    247,864.64x = 371,682.14 × 200,363.00
  4. Step 4: Simplify right side
    247,864.64x = 74,471,345,756.59
  5. Step 5: Solve for x
    x = 74,471,345,756.59/247,864.64
  6. Step 6: Final answer
    x = 300,451.68

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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.