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Finding the Fourth Proportional to 282,882.21, 424,602.16 and 207,791.56

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Solution

The fourth proportional to 282,882.21, 424,602.16 and 207,791.56 is: 311,892.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,882.21 : 424,602.16 = 207,791.56 : x
  2. Step 2: Convert to fraction form
    282,882.21/424,602.16 = 207,791.56/x
  3. Step 3: Cross multiply
    282,882.21x = 424,602.16 × 207,791.56
  4. Step 4: Simplify right side
    282,882.21x = 88,228,745,217.04
  5. Step 5: Solve for x
    x = 88,228,745,217.04/282,882.21
  6. Step 6: Final answer
    x = 311,892.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.