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Finding the Fourth Proportional to 294,098.40, 405,929.84 and 166,850.40

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Solution

The fourth proportional to 294,098.40, 405,929.84 and 166,850.40 is: 230,295.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,098.40 : 405,929.84 = 166,850.40 : x
  2. Step 2: Convert to fraction form
    294,098.40/405,929.84 = 166,850.40/x
  3. Step 3: Cross multiply
    294,098.40x = 405,929.84 × 166,850.40
  4. Step 4: Simplify right side
    294,098.40x = 67,729,556,175.94
  5. Step 5: Solve for x
    x = 67,729,556,175.94/294,098.40
  6. Step 6: Final answer
    x = 230,295.56

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1.5x scale

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.