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Finding the Fourth Proportional to 491,532.62, 678,301.29 and 273,741.24

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Solution

The fourth proportional to 491,532.62, 678,301.29 and 273,741.24 is: 377,755.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,532.62 : 678,301.29 = 273,741.24 : x
  2. Step 2: Convert to fraction form
    491,532.62/678,301.29 = 273,741.24/x
  3. Step 3: Cross multiply
    491,532.62x = 678,301.29 × 273,741.24
  4. Step 4: Simplify right side
    491,532.62x = 185,679,036,101.23
  5. Step 5: Solve for x
    x = 185,679,036,101.23/491,532.62
  6. Step 6: Final answer
    x = 377,755.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.