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Finding the Fourth Proportional to 461,321.80, 692,274.30 and 271,781.80

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Solution

The fourth proportional to 461,321.80, 692,274.30 and 271,781.80 is: 407,844.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,321.80 : 692,274.30 = 271,781.80 : x
  2. Step 2: Convert to fraction form
    461,321.80/692,274.30 = 271,781.80/x
  3. Step 3: Cross multiply
    461,321.80x = 692,274.30 × 271,781.80
  4. Step 4: Simplify right side
    461,321.80x = 188,147,555,347.74
  5. Step 5: Solve for x
    x = 188,147,555,347.74/461,321.80
  6. Step 6: Final answer
    x = 407,844.49

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1.5x scale

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.