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Finding the Fourth Proportional to 282,564.70, 424,175.10 and 162,717.10

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Solution

The fourth proportional to 282,564.70, 424,175.10 and 162,717.10 is: 244,264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,564.70 : 424,175.10 = 162,717.10 : x
  2. Step 2: Convert to fraction form
    282,564.70/424,175.10 = 162,717.10/x
  3. Step 3: Cross multiply
    282,564.70x = 424,175.10 × 162,717.10
  4. Step 4: Simplify right side
    282,564.70x = 69,020,542,164.21
  5. Step 5: Solve for x
    x = 69,020,542,164.21/282,564.70
  6. Step 6: Final answer
    x = 244,264.56

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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.