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Finding the Fourth Proportional to 305,784.20, 458,676.30 and 165,816.20

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Solution

The fourth proportional to 305,784.20, 458,676.30 and 165,816.20 is: 248,724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,784.20 : 458,676.30 = 165,816.20 : x
  2. Step 2: Convert to fraction form
    305,784.20/458,676.30 = 165,816.20/x
  3. Step 3: Cross multiply
    305,784.20x = 458,676.30 × 165,816.20
  4. Step 4: Simplify right side
    305,784.20x = 76,055,961,096.06
  5. Step 5: Solve for x
    x = 76,055,961,096.06/305,784.20
  6. Step 6: Final answer
    x = 248,724.30

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Similar ratio
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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.