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Finding the Fourth Proportional to 294,092.40, 405,921.56 and 166,844.40

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Solution

The fourth proportional to 294,092.40, 405,921.56 and 166,844.40 is: 230,287.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,092.40 : 405,921.56 = 166,844.40 : x
  2. Step 2: Convert to fraction form
    294,092.40/405,921.56 = 166,844.40/x
  3. Step 3: Cross multiply
    294,092.40x = 405,921.56 × 166,844.40
  4. Step 4: Simplify right side
    294,092.40x = 67,725,739,125.26
  5. Step 5: Solve for x
    x = 67,725,739,125.26/294,092.40
  6. Step 6: Final answer
    x = 230,287.28

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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.