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Finding the Fourth Proportional to 349,247.68, 482,019.78 and 206,042.92

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Solution

The fourth proportional to 349,247.68, 482,019.78 and 206,042.92 is: 284,373.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,247.68 : 482,019.78 = 206,042.92 : x
  2. Step 2: Convert to fraction form
    349,247.68/482,019.78 = 206,042.92/x
  3. Step 3: Cross multiply
    349,247.68x = 482,019.78 × 206,042.92
  4. Step 4: Simplify right side
    349,247.68x = 99,316,762,968.96
  5. Step 5: Solve for x
    x = 99,316,762,968.96/349,247.68
  6. Step 6: Final answer
    x = 284,373.44

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1.5x scale

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.