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Finding the Fourth Proportional to 461,496.40, 691,855.80 and 239,880.40

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Solution

The fourth proportional to 461,496.40, 691,855.80 and 239,880.40 is: 359,618.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,496.40 : 691,855.80 = 239,880.40 : x
  2. Step 2: Convert to fraction form
    461,496.40/691,855.80 = 239,880.40/x
  3. Step 3: Cross multiply
    461,496.40x = 691,855.80 × 239,880.40
  4. Step 4: Simplify right side
    461,496.40x = 165,962,646,046.32
  5. Step 5: Solve for x
    x = 165,962,646,046.32/461,496.40
  6. Step 6: Final answer
    x = 359,618.51

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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.