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Finding the Fourth Proportional to 382,326.12, 527,637.78 and 229,371

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Solution

The fourth proportional to 382,326.12, 527,637.78 and 229,371 is: 316,548.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,326.12 : 527,637.78 = 229,371 : x
  2. Step 2: Convert to fraction form
    382,326.12/527,637.78 = 229,371/x
  3. Step 3: Cross multiply
    382,326.12x = 527,637.78 × 229,371
  4. Step 4: Simplify right side
    382,326.12x = 121,024,805,236.38
  5. Step 5: Solve for x
    x = 121,024,805,236.38/382,326.12
  6. Step 6: Final answer
    x = 316,548.62

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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.