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Finding the Fourth Proportional to 462,183.40, 693,275.10 and 320,465.80

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Solution

The fourth proportional to 462,183.40, 693,275.10 and 320,465.80 is: 480,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,183.40 : 693,275.10 = 320,465.80 : x
  2. Step 2: Convert to fraction form
    462,183.40/693,275.10 = 320,465.80/x
  3. Step 3: Cross multiply
    462,183.40x = 693,275.10 × 320,465.80
  4. Step 4: Simplify right side
    462,183.40x = 222,170,959,541.58
  5. Step 5: Solve for x
    x = 222,170,959,541.58/462,183.40
  6. Step 6: Final answer
    x = 480,698.70

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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.