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Finding the Fourth Proportional to 431,250.60, 647,106.30 and 194,629.80

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Solution

The fourth proportional to 431,250.60, 647,106.30 and 194,629.80 is: 292,048.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,250.60 : 647,106.30 = 194,629.80 : x
  2. Step 2: Convert to fraction form
    431,250.60/647,106.30 = 194,629.80/x
  3. Step 3: Cross multiply
    431,250.60x = 647,106.30 × 194,629.80
  4. Step 4: Simplify right side
    431,250.60x = 125,946,169,747.74
  5. Step 5: Solve for x
    x = 125,946,169,747.74/431,250.60
  6. Step 6: Final answer
    x = 292,048.68

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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.