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Finding the Fourth Proportional to 269,702.40, 404,553.60 and 185,721.60

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Solution

The fourth proportional to 269,702.40, 404,553.60 and 185,721.60 is: 278,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,702.40 : 404,553.60 = 185,721.60 : x
  2. Step 2: Convert to fraction form
    269,702.40/404,553.60 = 185,721.60/x
  3. Step 3: Cross multiply
    269,702.40x = 404,553.60 × 185,721.60
  4. Step 4: Simplify right side
    269,702.40x = 75,134,341,877.76
  5. Step 5: Solve for x
    x = 75,134,341,877.76/269,702.40
  6. Step 6: Final answer
    x = 278,582.40

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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.