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Finding the Fourth Proportional to 431,524.96, 647,506.07 and 287,529.20

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Solution

The fourth proportional to 431,524.96, 647,506.07 and 287,529.20 is: 431,439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,524.96 : 647,506.07 = 287,529.20 : x
  2. Step 2: Convert to fraction form
    431,524.96/647,506.07 = 287,529.20/x
  3. Step 3: Cross multiply
    431,524.96x = 647,506.07 × 287,529.20
  4. Step 4: Simplify right side
    431,524.96x = 186,176,902,302.24
  5. Step 5: Solve for x
    x = 186,176,902,302.24/431,524.96
  6. Step 6: Final answer
    x = 431,439.48

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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.