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Finding the Fourth Proportional to 474,684.20, 712,288.38 and 194,397.80

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Solution

The fourth proportional to 474,684.20, 712,288.38 and 194,397.80 is: 291,704.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,684.20 : 712,288.38 = 194,397.80 : x
  2. Step 2: Convert to fraction form
    474,684.20/712,288.38 = 194,397.80/x
  3. Step 3: Cross multiply
    474,684.20x = 712,288.38 × 194,397.80
  4. Step 4: Simplify right side
    474,684.20x = 138,467,294,037.56
  5. Step 5: Solve for x
    x = 138,467,294,037.56/474,684.20
  6. Step 6: Final answer
    x = 291,704.03

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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.