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Finding the Fourth Proportional to 431,456.80, 647,569.20 and 253,741.60

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Solution

The fourth proportional to 431,456.80, 647,569.20 and 253,741.60 is: 380,838.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,456.80 : 647,569.20 = 253,741.60 : x
  2. Step 2: Convert to fraction form
    431,456.80/647,569.20 = 253,741.60/x
  3. Step 3: Cross multiply
    431,456.80x = 647,569.20 × 253,741.60
  4. Step 4: Simplify right side
    431,456.80x = 164,315,244,918.72
  5. Step 5: Solve for x
    x = 164,315,244,918.72/431,456.80
  6. Step 6: Final answer
    x = 380,838.23

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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.