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Finding the Fourth Proportional to 310,945.64, 466,368.60 and 111,228.80

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Solution

The fourth proportional to 310,945.64, 466,368.60 and 111,228.80 is: 166,825.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,945.64 : 466,368.60 = 111,228.80 : x
  2. Step 2: Convert to fraction form
    310,945.64/466,368.60 = 111,228.80/x
  3. Step 3: Cross multiply
    310,945.64x = 466,368.60 × 111,228.80
  4. Step 4: Simplify right side
    310,945.64x = 51,873,619,735.68
  5. Step 5: Solve for x
    x = 51,873,619,735.68/310,945.64
  6. Step 6: Final answer
    x = 166,825.36

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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.