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Finding the Fourth Proportional to 314,805.84, 434,419.38 and 171,562.80

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Solution

The fourth proportional to 314,805.84, 434,419.38 and 171,562.80 is: 236,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,805.84 : 434,419.38 = 171,562.80 : x
  2. Step 2: Convert to fraction form
    314,805.84/434,419.38 = 171,562.80/x
  3. Step 3: Cross multiply
    314,805.84x = 434,419.38 × 171,562.80
  4. Step 4: Simplify right side
    314,805.84x = 74,530,205,207.06
  5. Step 5: Solve for x
    x = 74,530,205,207.06/314,805.84
  6. Step 6: Final answer
    x = 236,749.75

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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.