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Finding the Fourth Proportional to 426,257.72, 588,226.68 and 232,659.04

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Solution

The fourth proportional to 426,257.72, 588,226.68 and 232,659.04 is: 321,064.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,257.72 : 588,226.68 = 232,659.04 : x
  2. Step 2: Convert to fraction form
    426,257.72/588,226.68 = 232,659.04/x
  3. Step 3: Cross multiply
    426,257.72x = 588,226.68 × 232,659.04
  4. Step 4: Simplify right side
    426,257.72x = 136,856,254,671.19
  5. Step 5: Solve for x
    x = 136,856,254,671.19/426,257.72
  6. Step 6: Final answer
    x = 321,064.58

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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.