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Finding the Fourth Proportional to 349,293.92, 524,043.12 and 112,631.84

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Solution

The fourth proportional to 349,293.92, 524,043.12 and 112,631.84 is: 168,980.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,293.92 : 524,043.12 = 112,631.84 : x
  2. Step 2: Convert to fraction form
    349,293.92/524,043.12 = 112,631.84/x
  3. Step 3: Cross multiply
    349,293.92x = 524,043.12 × 112,631.84
  4. Step 4: Simplify right side
    349,293.92x = 59,023,940,844.94
  5. Step 5: Solve for x
    x = 59,023,940,844.94/349,293.92
  6. Step 6: Final answer
    x = 168,980.73

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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.