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Finding the Fourth Proportional to 424,072.67, 636,324.26 and 282,016.76

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Solution

The fourth proportional to 424,072.67, 636,324.26 and 282,016.76 is: 423,168.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,072.67 : 636,324.26 = 282,016.76 : x
  2. Step 2: Convert to fraction form
    424,072.67/636,324.26 = 282,016.76/x
  3. Step 3: Cross multiply
    424,072.67x = 636,324.26 × 282,016.76
  4. Step 4: Simplify right side
    424,072.67x = 179,454,101,522.89
  5. Step 5: Solve for x
    x = 179,454,101,522.89/424,072.67
  6. Step 6: Final answer
    x = 423,168.28

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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.