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Finding the Fourth Proportional to 426,626.56, 588,558.72 and 256,764.16

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Solution

The fourth proportional to 426,626.56, 588,558.72 and 256,764.16 is: 354,222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,626.56 : 588,558.72 = 256,764.16 : x
  2. Step 2: Convert to fraction form
    426,626.56/588,558.72 = 256,764.16/x
  3. Step 3: Cross multiply
    426,626.56x = 588,558.72 × 256,764.16
  4. Step 4: Simplify right side
    426,626.56x = 151,120,785,351.48
  5. Step 5: Solve for x
    x = 151,120,785,351.48/426,626.56
  6. Step 6: Final answer
    x = 354,222.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.