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Finding the Fourth Proportional to 456,225.60, 684,338.40 and 269,601.60

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Solution

The fourth proportional to 456,225.60, 684,338.40 and 269,601.60 is: 404,402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,225.60 : 684,338.40 = 269,601.60 : x
  2. Step 2: Convert to fraction form
    456,225.60/684,338.40 = 269,601.60/x
  3. Step 3: Cross multiply
    456,225.60x = 684,338.40 × 269,601.60
  4. Step 4: Simplify right side
    456,225.60x = 184,498,727,581.44
  5. Step 5: Solve for x
    x = 184,498,727,581.44/456,225.60
  6. Step 6: Final answer
    x = 404,402.40

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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.