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Finding the Fourth Proportional to 406,963.62, 561,492.81 and 234,867.78

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Solution

The fourth proportional to 406,963.62, 561,492.81 and 234,867.78 is: 324,050.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,963.62 : 561,492.81 = 234,867.78 : x
  2. Step 2: Convert to fraction form
    406,963.62/561,492.81 = 234,867.78/x
  3. Step 3: Cross multiply
    406,963.62x = 561,492.81 × 234,867.78
  4. Step 4: Simplify right side
    406,963.62x = 131,876,569,770.66
  5. Step 5: Solve for x
    x = 131,876,569,770.66/406,963.62
  6. Step 6: Final answer
    x = 324,050.02

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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.