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Finding the Fourth Proportional to 537,524.16, 741,782.44 and 295,822.32

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Solution

The fourth proportional to 537,524.16, 741,782.44 and 295,822.32 is: 408,234.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,524.16 : 741,782.44 = 295,822.32 : x
  2. Step 2: Convert to fraction form
    537,524.16/741,782.44 = 295,822.32/x
  3. Step 3: Cross multiply
    537,524.16x = 741,782.44 × 295,822.32
  4. Step 4: Simplify right side
    537,524.16x = 219,435,802,336.06
  5. Step 5: Solve for x
    x = 219,435,802,336.06/537,524.16
  6. Step 6: Final answer
    x = 408,234.31

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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.