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Finding the Fourth Proportional to 277,727.60, 416,591.40 and 260,231.60

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Solution

The fourth proportional to 277,727.60, 416,591.40 and 260,231.60 is: 390,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,727.60 : 416,591.40 = 260,231.60 : x
  2. Step 2: Convert to fraction form
    277,727.60/416,591.40 = 260,231.60/x
  3. Step 3: Cross multiply
    277,727.60x = 416,591.40 × 260,231.60
  4. Step 4: Simplify right side
    277,727.60x = 108,410,246,568.24
  5. Step 5: Solve for x
    x = 108,410,246,568.24/277,727.60
  6. Step 6: Final answer
    x = 390,347.40

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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.