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Finding the Fourth Proportional to 294,113.24, 441,169.94 and 72,497.24

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Solution

The fourth proportional to 294,113.24, 441,169.94 and 72,497.24 is: 108,745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,113.24 : 441,169.94 = 72,497.24 : x
  2. Step 2: Convert to fraction form
    294,113.24/441,169.94 = 72,497.24/x
  3. Step 3: Cross multiply
    294,113.24x = 441,169.94 × 72,497.24
  4. Step 4: Simplify right side
    294,113.24x = 31,983,603,020.97
  5. Step 5: Solve for x
    x = 31,983,603,020.97/294,113.24
  6. Step 6: Final answer
    x = 108,745.88

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1.5x scale

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.