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Finding the Fourth Proportional to 382,264.68, 527,557.14 and 212,514.60

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Solution

The fourth proportional to 382,264.68, 527,557.14 and 212,514.60 is: 293,287.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,264.68 : 527,557.14 = 212,514.60 : x
  2. Step 2: Convert to fraction form
    382,264.68/527,557.14 = 212,514.60/x
  3. Step 3: Cross multiply
    382,264.68x = 527,557.14 × 212,514.60
  4. Step 4: Simplify right side
    382,264.68x = 112,113,594,584.24
  5. Step 5: Solve for x
    x = 112,113,594,584.24/382,264.68
  6. Step 6: Final answer
    x = 293,287.87

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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.