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Finding the Fourth Proportional to 349,295.92, 524,046.12 and 112,633.84

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Solution

The fourth proportional to 349,295.92, 524,046.12 and 112,633.84 is: 168,983.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,295.92 : 524,046.12 = 112,633.84 : x
  2. Step 2: Convert to fraction form
    349,295.92/524,046.12 = 112,633.84/x
  3. Step 3: Cross multiply
    349,295.92x = 524,046.12 × 112,633.84
  4. Step 4: Simplify right side
    349,295.92x = 59,025,326,832.70
  5. Step 5: Solve for x
    x = 59,025,326,832.70/349,295.92
  6. Step 6: Final answer
    x = 168,983.73

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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.