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Finding the Fourth Proportional to 426,363.75, 588,372.66 and 232,764.84

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Solution

The fourth proportional to 426,363.75, 588,372.66 and 232,764.84 is: 321,210.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,363.75 : 588,372.66 = 232,764.84 : x
  2. Step 2: Convert to fraction form
    426,363.75/588,372.66 = 232,764.84/x
  3. Step 3: Cross multiply
    426,363.75x = 588,372.66 × 232,764.84
  4. Step 4: Simplify right side
    426,363.75x = 136,952,468,065.27
  5. Step 5: Solve for x
    x = 136,952,468,065.27/426,363.75
  6. Step 6: Final answer
    x = 321,210.39

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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.