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Finding the Fourth Proportional to 406,794.78, 561,381.87 and 234,748.45

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Solution

The fourth proportional to 406,794.78, 561,381.87 and 234,748.45 is: 323,955.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,794.78 : 561,381.87 = 234,748.45 : x
  2. Step 2: Convert to fraction form
    406,794.78/561,381.87 = 234,748.45/x
  3. Step 3: Cross multiply
    406,794.78x = 561,381.87 × 234,748.45
  4. Step 4: Simplify right side
    406,794.78x = 131,783,523,840.60
  5. Step 5: Solve for x
    x = 131,783,523,840.60/406,794.78
  6. Step 6: Final answer
    x = 323,955.79

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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.