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Finding the Fourth Proportional to 287,584.70, 431,377.05 and 236,846.30

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Solution

The fourth proportional to 287,584.70, 431,377.05 and 236,846.30 is: 355,269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,584.70 : 431,377.05 = 236,846.30 : x
  2. Step 2: Convert to fraction form
    287,584.70/431,377.05 = 236,846.30/x
  3. Step 3: Cross multiply
    287,584.70x = 431,377.05 × 236,846.30
  4. Step 4: Simplify right side
    287,584.70x = 102,170,058,197.42
  5. Step 5: Solve for x
    x = 102,170,058,197.42/287,584.70
  6. Step 6: Final answer
    x = 355,269.45

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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.