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Finding the Fourth Proportional to 314,873.19, 434,524.97 and 171,634.21

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Solution

The fourth proportional to 314,873.19, 434,524.97 and 171,634.21 is: 236,855.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,873.19 : 434,524.97 = 171,634.21 : x
  2. Step 2: Convert to fraction form
    314,873.19/434,524.97 = 171,634.21/x
  3. Step 3: Cross multiply
    314,873.19x = 434,524.97 × 171,634.21
  4. Step 4: Simplify right side
    314,873.19x = 74,579,349,294.00
  5. Step 5: Solve for x
    x = 74,579,349,294.00/314,873.19
  6. Step 6: Final answer
    x = 236,855.19

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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.