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Finding the Fourth Proportional to 314,480.16, 433,976.40 and 171,241.92

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Solution

The fourth proportional to 314,480.16, 433,976.40 and 171,241.92 is: 236,310.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,480.16 : 433,976.40 = 171,241.92 : x
  2. Step 2: Convert to fraction form
    314,480.16/433,976.40 = 171,241.92/x
  3. Step 3: Cross multiply
    314,480.16x = 433,976.40 × 171,241.92
  4. Step 4: Simplify right side
    314,480.16x = 74,314,951,970.69
  5. Step 5: Solve for x
    x = 74,314,951,970.69/314,480.16
  6. Step 6: Final answer
    x = 236,310.46

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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.