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Finding the Fourth Proportional to 282,562.70, 424,172.10 and 162,715.10

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Solution

The fourth proportional to 282,562.70, 424,172.10 and 162,715.10 is: 244,261.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,562.70 : 424,172.10 = 162,715.10 : x
  2. Step 2: Convert to fraction form
    282,562.70/424,172.10 = 162,715.10/x
  3. Step 3: Cross multiply
    282,562.70x = 424,172.10 × 162,715.10
  4. Step 4: Simplify right side
    282,562.70x = 69,019,205,668.71
  5. Step 5: Solve for x
    x = 69,019,205,668.71/282,562.70
  6. Step 6: Final answer
    x = 244,261.56

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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.