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Finding the Fourth Proportional to 432,024.80, 647,842.80 and 165,696.80

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Solution

The fourth proportional to 432,024.80, 647,842.80 and 165,696.80 is: 248,470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,024.80 : 647,842.80 = 165,696.80 : x
  2. Step 2: Convert to fraction form
    432,024.80/647,842.80 = 165,696.80/x
  3. Step 3: Cross multiply
    432,024.80x = 647,842.80 × 165,696.80
  4. Step 4: Simplify right side
    432,024.80x = 107,345,478,863.04
  5. Step 5: Solve for x
    x = 107,345,478,863.04/432,024.80
  6. Step 6: Final answer
    x = 248,470.64

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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.