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Finding the Fourth Proportional to 432,264.80, 647,936.40 and 165,922.40

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Solution

The fourth proportional to 432,264.80, 647,936.40 and 165,922.40 is: 248,706.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,264.80 : 647,936.40 = 165,922.40 : x
  2. Step 2: Convert to fraction form
    432,264.80/647,936.40 = 165,922.40/x
  3. Step 3: Cross multiply
    432,264.80x = 647,936.40 × 165,922.40
  4. Step 4: Simplify right side
    432,264.80x = 107,507,162,535.36
  5. Step 5: Solve for x
    x = 107,507,162,535.36/432,264.80
  6. Step 6: Final answer
    x = 248,706.72

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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.