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Finding the Fourth Proportional to 315,952.21, 474,011.34 and 113,568.85

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Solution

The fourth proportional to 315,952.21, 474,011.34 and 113,568.85 is: 170,383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,952.21 : 474,011.34 = 113,568.85 : x
  2. Step 2: Convert to fraction form
    315,952.21/474,011.34 = 113,568.85/x
  3. Step 3: Cross multiply
    315,952.21x = 474,011.34 × 113,568.85
  4. Step 4: Simplify right side
    315,952.21x = 53,832,922,770.76
  5. Step 5: Solve for x
    x = 53,832,922,770.76/315,952.21
  6. Step 6: Final answer
    x = 170,383.12

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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.