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Finding the Fourth Proportional to 382,412.43, 527,722.52 and 212,642.91

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Solution

The fourth proportional to 382,412.43, 527,722.52 and 212,642.91 is: 293,443.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,412.43 : 527,722.52 = 212,642.91 : x
  2. Step 2: Convert to fraction form
    382,412.43/527,722.52 = 212,642.91/x
  3. Step 3: Cross multiply
    382,412.43x = 527,722.52 × 212,642.91
  4. Step 4: Simplify right side
    382,412.43x = 112,216,451,262.12
  5. Step 5: Solve for x
    x = 112,216,451,262.12/382,412.43
  6. Step 6: Final answer
    x = 293,443.52

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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.