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Finding the Fourth Proportional to 349,246.68, 482,018.40 and 206,041.92

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Solution

The fourth proportional to 349,246.68, 482,018.40 and 206,041.92 is: 284,372.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,246.68 : 482,018.40 = 206,041.92 : x
  2. Step 2: Convert to fraction form
    349,246.68/482,018.40 = 206,041.92/x
  3. Step 3: Cross multiply
    349,246.68x = 482,018.40 × 206,041.92
  4. Step 4: Simplify right side
    349,246.68x = 99,315,996,611.33
  5. Step 5: Solve for x
    x = 99,315,996,611.33/349,246.68
  6. Step 6: Final answer
    x = 284,372.06

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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.