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Finding the Fourth Proportional to 537,457.66, 741,694.24 and 295,734.22

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Solution

The fourth proportional to 537,457.66, 741,694.24 and 295,734.22 is: 408,114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,457.66 : 741,694.24 = 295,734.22 : x
  2. Step 2: Convert to fraction form
    537,457.66/741,694.24 = 295,734.22/x
  3. Step 3: Cross multiply
    537,457.66x = 741,694.24 × 295,734.22
  4. Step 4: Simplify right side
    537,457.66x = 219,344,367,544.89
  5. Step 5: Solve for x
    x = 219,344,367,544.89/537,457.66
  6. Step 6: Final answer
    x = 408,114.69

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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.