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Finding the Fourth Proportional to 314,778.72, 434,383.60 and 171,535.84

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Solution

The fourth proportional to 314,778.72, 434,383.60 and 171,535.84 is: 236,713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,778.72 : 434,383.60 = 171,535.84 : x
  2. Step 2: Convert to fraction form
    314,778.72/434,383.60 = 171,535.84/x
  3. Step 3: Cross multiply
    314,778.72x = 434,383.60 × 171,535.84
  4. Step 4: Simplify right side
    314,778.72x = 74,512,355,708.22
  5. Step 5: Solve for x
    x = 74,512,355,708.22/314,778.72
  6. Step 6: Final answer
    x = 236,713.45

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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.