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Finding the Fourth Proportional to 456,464.60, 684,696.90 and 231,738.20

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Solution

The fourth proportional to 456,464.60, 684,696.90 and 231,738.20 is: 347,607.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,464.60 : 684,696.90 = 231,738.20 : x
  2. Step 2: Convert to fraction form
    456,464.60/684,696.90 = 231,738.20/x
  3. Step 3: Cross multiply
    456,464.60x = 684,696.90 × 231,738.20
  4. Step 4: Simplify right side
    456,464.60x = 158,670,427,151.58
  5. Step 5: Solve for x
    x = 158,670,427,151.58/456,464.60
  6. Step 6: Final answer
    x = 347,607.30

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Double scale
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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.