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Finding the Fourth Proportional to 461,057.94, 691,420.50 and 194,839.02

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Solution

The fourth proportional to 461,057.94, 691,420.50 and 194,839.02 is: 292,188.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,057.94 : 691,420.50 = 194,839.02 : x
  2. Step 2: Convert to fraction form
    461,057.94/691,420.50 = 194,839.02/x
  3. Step 3: Cross multiply
    461,057.94x = 691,420.50 × 194,839.02
  4. Step 4: Simplify right side
    461,057.94x = 134,715,692,627.91
  5. Step 5: Solve for x
    x = 134,715,692,627.91/461,057.94
  6. Step 6: Final answer
    x = 292,188.21

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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.