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Finding the Fourth Proportional to 330,974.26, 495,987.77 and 188,525.47

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Solution

The fourth proportional to 330,974.26, 495,987.77 and 188,525.47 is: 282,518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,974.26 : 495,987.77 = 188,525.47 : x
  2. Step 2: Convert to fraction form
    330,974.26/495,987.77 = 188,525.47/x
  3. Step 3: Cross multiply
    330,974.26x = 495,987.77 × 188,525.47
  4. Step 4: Simplify right side
    330,974.26x = 93,506,324,304.90
  5. Step 5: Solve for x
    x = 93,506,324,304.90/330,974.26
  6. Step 6: Final answer
    x = 282,518.42

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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.