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Finding the Fourth Proportional to 382,103.12, 527,291.82 and 212,332.88

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Solution

The fourth proportional to 382,103.12, 527,291.82 and 212,332.88 is: 293,013.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,103.12 : 527,291.82 = 212,332.88 : x
  2. Step 2: Convert to fraction form
    382,103.12/527,291.82 = 212,332.88/x
  3. Step 3: Cross multiply
    382,103.12x = 527,291.82 × 212,332.88
  4. Step 4: Simplify right side
    382,103.12x = 111,961,390,741.04
  5. Step 5: Solve for x
    x = 111,961,390,741.04/382,103.12
  6. Step 6: Final answer
    x = 293,013.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.