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Finding the Fourth Proportional to 349,560.93, 482,380.19 and 206,367.11

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Solution

The fourth proportional to 349,560.93, 482,380.19 and 206,367.11 is: 284,778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,560.93 : 482,380.19 = 206,367.11 : x
  2. Step 2: Convert to fraction form
    349,560.93/482,380.19 = 206,367.11/x
  3. Step 3: Cross multiply
    349,560.93x = 482,380.19 × 206,367.11
  4. Step 4: Simplify right side
    349,560.93x = 99,547,403,319.65
  5. Step 5: Solve for x
    x = 99,547,403,319.65/349,560.93
  6. Step 6: Final answer
    x = 284,778.40

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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.