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Finding the Fourth Proportional to 314,642.24, 434,201.28 and 171,404

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Solution

The fourth proportional to 314,642.24, 434,201.28 and 171,404 is: 236,534.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,642.24 : 434,201.28 = 171,404 : x
  2. Step 2: Convert to fraction form
    314,642.24/434,201.28 = 171,404/x
  3. Step 3: Cross multiply
    314,642.24x = 434,201.28 × 171,404
  4. Step 4: Simplify right side
    314,642.24x = 74,423,836,197.12
  5. Step 5: Solve for x
    x = 74,423,836,197.12/314,642.24
  6. Step 6: Final answer
    x = 236,534.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.