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Finding the Fourth Proportional to 486,138.30, 729,207.45 and 314,896.20

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Solution

The fourth proportional to 486,138.30, 729,207.45 and 314,896.20 is: 472,344.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,138.30 : 729,207.45 = 314,896.20 : x
  2. Step 2: Convert to fraction form
    486,138.30/729,207.45 = 314,896.20/x
  3. Step 3: Cross multiply
    486,138.30x = 729,207.45 × 314,896.20
  4. Step 4: Simplify right side
    486,138.30x = 229,624,655,016.69
  5. Step 5: Solve for x
    x = 229,624,655,016.69/486,138.30
  6. Step 6: Final answer
    x = 472,344.30

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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.