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Finding the Fourth Proportional to 431,706.60, 647,252.70 and 165,364.20

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Solution

The fourth proportional to 431,706.60, 647,252.70 and 165,364.20 is: 247,928.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,706.60 : 647,252.70 = 165,364.20 : x
  2. Step 2: Convert to fraction form
    431,706.60/647,252.70 = 165,364.20/x
  3. Step 3: Cross multiply
    431,706.60x = 647,252.70 × 165,364.20
  4. Step 4: Simplify right side
    431,706.60x = 107,032,424,933.34
  5. Step 5: Solve for x
    x = 107,032,424,933.34/431,706.60
  6. Step 6: Final answer
    x = 247,928.63

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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.