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Finding the Fourth Proportional to 282,930.26, 424,395.51 and 69,702.32

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Solution

The fourth proportional to 282,930.26, 424,395.51 and 69,702.32 is: 104,553.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,930.26 : 424,395.51 = 69,702.32 : x
  2. Step 2: Convert to fraction form
    282,930.26/424,395.51 = 69,702.32/x
  3. Step 3: Cross multiply
    282,930.26x = 424,395.51 × 69,702.32
  4. Step 4: Simplify right side
    282,930.26x = 29,581,352,444.19
  5. Step 5: Solve for x
    x = 29,581,352,444.19/282,930.26
  6. Step 6: Final answer
    x = 104,553.51

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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.