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Finding the Fourth Proportional to 537,321.66, 741,255.90 and 346,396.56

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Solution

The fourth proportional to 537,321.66, 741,255.90 and 346,396.56 is: 477,867.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,321.66 : 741,255.90 = 346,396.56 : x
  2. Step 2: Convert to fraction form
    537,321.66/741,255.90 = 346,396.56/x
  3. Step 3: Cross multiply
    537,321.66x = 741,255.90 × 346,396.56
  4. Step 4: Simplify right side
    537,321.66x = 256,768,493,839.70
  5. Step 5: Solve for x
    x = 256,768,493,839.70/537,321.66
  6. Step 6: Final answer
    x = 477,867.38

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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.