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Finding the Fourth Proportional to 382,189.32, 527,340.78 and 212,419.80

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Solution

The fourth proportional to 382,189.32, 527,340.78 and 212,419.80 is: 293,094.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,189.32 : 527,340.78 = 212,419.80 : x
  2. Step 2: Convert to fraction form
    382,189.32/527,340.78 = 212,419.80/x
  3. Step 3: Cross multiply
    382,189.32x = 527,340.78 × 212,419.80
  4. Step 4: Simplify right side
    382,189.32x = 112,017,623,019.44
  5. Step 5: Solve for x
    x = 112,017,623,019.44/382,189.32
  6. Step 6: Final answer
    x = 293,094.59

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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.