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Finding the Fourth Proportional to 305,921.20, 458,881.80 and 164,203.60

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Solution

The fourth proportional to 305,921.20, 458,881.80 and 164,203.60 is: 246,305.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,921.20 : 458,881.80 = 164,203.60 : x
  2. Step 2: Convert to fraction form
    305,921.20/458,881.80 = 164,203.60/x
  3. Step 3: Cross multiply
    305,921.20x = 458,881.80 × 164,203.60
  4. Step 4: Simplify right side
    305,921.20x = 75,350,043,534.48
  5. Step 5: Solve for x
    x = 75,350,043,534.48/305,921.20
  6. Step 6: Final answer
    x = 246,305.40

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1.5x scale

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.