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Finding the Fourth Proportional to 352,971.64, 487,105.50 and 191,829.25

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Solution

The fourth proportional to 352,971.64, 487,105.50 and 191,829.25 is: 264,726.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,971.64 : 487,105.50 = 191,829.25 : x
  2. Step 2: Convert to fraction form
    352,971.64/487,105.50 = 191,829.25/x
  3. Step 3: Cross multiply
    352,971.64x = 487,105.50 × 191,829.25
  4. Step 4: Simplify right side
    352,971.64x = 93,441,082,735.88
  5. Step 5: Solve for x
    x = 93,441,082,735.88/352,971.64
  6. Step 6: Final answer
    x = 264,726.88

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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.