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Finding the Fourth Proportional to 314,480.84, 433,983.24 and 171,241.88

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Solution

The fourth proportional to 314,480.84, 433,983.24 and 171,241.88 is: 236,313.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,480.84 : 433,983.24 = 171,241.88 : x
  2. Step 2: Convert to fraction form
    314,480.84/433,983.24 = 171,241.88/x
  3. Step 3: Cross multiply
    314,480.84x = 433,983.24 × 171,241.88
  4. Step 4: Simplify right side
    314,480.84x = 74,316,105,906.09
  5. Step 5: Solve for x
    x = 74,316,105,906.09/314,480.84
  6. Step 6: Final answer
    x = 236,313.62

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1.5x scale

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.