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Finding the Fourth Proportional to 295,568.52, 407,840.43 and 166,488.54

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Solution

The fourth proportional to 295,568.52, 407,840.43 and 166,488.54 is: 229,729.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,568.52 : 407,840.43 = 166,488.54 : x
  2. Step 2: Convert to fraction form
    295,568.52/407,840.43 = 166,488.54/x
  3. Step 3: Cross multiply
    295,568.52x = 407,840.43 × 166,488.54
  4. Step 4: Simplify right side
    295,568.52x = 67,900,757,743.67
  5. Step 5: Solve for x
    x = 67,900,757,743.67/295,568.52
  6. Step 6: Final answer
    x = 229,729.33

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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.