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Finding the Fourth Proportional to 263,843.68, 395,853 and 175,445.16

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Solution

The fourth proportional to 263,843.68, 395,853 and 175,445.16 is: 263,225.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,843.68 : 395,853 = 175,445.16 : x
  2. Step 2: Convert to fraction form
    263,843.68/395,853 = 175,445.16/x
  3. Step 3: Cross multiply
    263,843.68x = 395,853 × 175,445.16
  4. Step 4: Simplify right side
    263,843.68x = 69,450,492,921.48
  5. Step 5: Solve for x
    x = 69,450,492,921.48/263,843.68
  6. Step 6: Final answer
    x = 263,225.91

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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.