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Finding the Fourth Proportional to 432,065.80, 647,904.30 and 165,737.80

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Solution

The fourth proportional to 432,065.80, 647,904.30 and 165,737.80 is: 248,532.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,065.80 : 647,904.30 = 165,737.80 : x
  2. Step 2: Convert to fraction form
    432,065.80/647,904.30 = 165,737.80/x
  3. Step 3: Cross multiply
    432,065.80x = 647,904.30 × 165,737.80
  4. Step 4: Simplify right side
    432,065.80x = 107,382,233,292.54
  5. Step 5: Solve for x
    x = 107,382,233,292.54/432,065.80
  6. Step 6: Final answer
    x = 248,532.13

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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.