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Finding the Fourth Proportional to 282,986.88, 424,377.53 and 154,998.17

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Solution

The fourth proportional to 282,986.88, 424,377.53 and 154,998.17 is: 232,440.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,986.88 : 424,377.53 = 154,998.17 : x
  2. Step 2: Convert to fraction form
    282,986.88/424,377.53 = 154,998.17/x
  3. Step 3: Cross multiply
    282,986.88x = 424,377.53 × 154,998.17
  4. Step 4: Simplify right side
    282,986.88x = 65,777,740,539.12
  5. Step 5: Solve for x
    x = 65,777,740,539.12/282,986.88
  6. Step 6: Final answer
    x = 232,440.95

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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.