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Finding the Fourth Proportional to 295,624.62, 407,928.96 and 166,568.94

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Solution

The fourth proportional to 295,624.62, 407,928.96 and 166,568.94 is: 229,846.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,624.62 : 407,928.96 = 166,568.94 : x
  2. Step 2: Convert to fraction form
    295,624.62/407,928.96 = 166,568.94/x
  3. Step 3: Cross multiply
    295,624.62x = 407,928.96 × 166,568.94
  4. Step 4: Simplify right side
    295,624.62x = 67,948,294,462.50
  5. Step 5: Solve for x
    x = 67,948,294,462.50/295,624.62
  6. Step 6: Final answer
    x = 229,846.53

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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.