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Finding the Fourth Proportional to 461,372.40, 691,313.40 and 261,097.20

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Solution

The fourth proportional to 461,372.40, 691,313.40 and 261,097.20 is: 391,224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,372.40 : 691,313.40 = 261,097.20 : x
  2. Step 2: Convert to fraction form
    461,372.40/691,313.40 = 261,097.20/x
  3. Step 3: Cross multiply
    461,372.40x = 691,313.40 × 261,097.20
  4. Step 4: Simplify right side
    461,372.40x = 180,499,993,062.48
  5. Step 5: Solve for x
    x = 180,499,993,062.48/461,372.40
  6. Step 6: Final answer
    x = 391,224.08

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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.