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Finding the Fourth Proportional to 314,475.84, 433,976.37 and 171,236.91

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Solution

The fourth proportional to 314,475.84, 433,976.37 and 171,236.91 is: 236,306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,475.84 : 433,976.37 = 171,236.91 : x
  2. Step 2: Convert to fraction form
    314,475.84/433,976.37 = 171,236.91/x
  3. Step 3: Cross multiply
    314,475.84x = 433,976.37 × 171,236.91
  4. Step 4: Simplify right side
    314,475.84x = 74,312,772,611.82
  5. Step 5: Solve for x
    x = 74,312,772,611.82/314,475.84
  6. Step 6: Final answer
    x = 236,306.78

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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.