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Finding the Fourth Proportional to 349,251.93, 482,025.65 and 206,047.17

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Solution

The fourth proportional to 349,251.93, 482,025.65 and 206,047.17 is: 284,379.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,251.93 : 482,025.65 = 206,047.17 : x
  2. Step 2: Convert to fraction form
    349,251.93/482,025.65 = 206,047.17/x
  3. Step 3: Cross multiply
    349,251.93x = 482,025.65 × 206,047.17
  4. Step 4: Simplify right side
    349,251.93x = 99,320,020,019.67
  5. Step 5: Solve for x
    x = 99,320,020,019.67/349,251.93
  6. Step 6: Final answer
    x = 284,379.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.