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Finding the Fourth Proportional to 320,439.40, 480,659.10 and 306,788.20

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Solution

The fourth proportional to 320,439.40, 480,659.10 and 306,788.20 is: 460,182.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,439.40 : 480,659.10 = 306,788.20 : x
  2. Step 2: Convert to fraction form
    320,439.40/480,659.10 = 306,788.20/x
  3. Step 3: Cross multiply
    320,439.40x = 480,659.10 × 306,788.20
  4. Step 4: Simplify right side
    320,439.40x = 147,460,540,102.62
  5. Step 5: Solve for x
    x = 147,460,540,102.62/320,439.40
  6. Step 6: Final answer
    x = 460,182.30

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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.