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Finding the Fourth Proportional to 287,768.20, 431,652.30 and 270,257.80

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Solution

The fourth proportional to 287,768.20, 431,652.30 and 270,257.80 is: 405,386.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,768.20 : 431,652.30 = 270,257.80 : x
  2. Step 2: Convert to fraction form
    287,768.20/431,652.30 = 270,257.80/x
  3. Step 3: Cross multiply
    287,768.20x = 431,652.30 × 270,257.80
  4. Step 4: Simplify right side
    287,768.20x = 116,657,400,962.94
  5. Step 5: Solve for x
    x = 116,657,400,962.94/287,768.20
  6. Step 6: Final answer
    x = 405,386.70

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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.