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Finding the Fourth Proportional to 425,292.25, 586,896.42 and 231,702.27

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Solution

The fourth proportional to 425,292.25, 586,896.42 and 231,702.27 is: 319,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,292.25 : 586,896.42 = 231,702.27 : x
  2. Step 2: Convert to fraction form
    425,292.25/586,896.42 = 231,702.27/x
  3. Step 3: Cross multiply
    425,292.25x = 586,896.42 × 231,702.27
  4. Step 4: Simplify right side
    425,292.25x = 135,985,232,768.87
  5. Step 5: Solve for x
    x = 135,985,232,768.87/425,292.25
  6. Step 6: Final answer
    x = 319,745.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.