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Finding the Fourth Proportional to 537,223.38, 741,385.92 and 295,524.54

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Solution

The fourth proportional to 537,223.38, 741,385.92 and 295,524.54 is: 407,833.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,223.38 : 741,385.92 = 295,524.54 : x
  2. Step 2: Convert to fraction form
    537,223.38/741,385.92 = 295,524.54/x
  3. Step 3: Cross multiply
    537,223.38x = 741,385.92 × 295,524.54
  4. Step 4: Simplify right side
    537,223.38x = 219,097,732,970.48
  5. Step 5: Solve for x
    x = 219,097,732,970.48/537,223.38
  6. Step 6: Final answer
    x = 407,833.58

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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.