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Finding the Fourth Proportional to 364,107.76, 502,262.91 and 227,905.25

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Solution

The fourth proportional to 364,107.76, 502,262.91 and 227,905.25 is: 314,380.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,107.76 : 502,262.91 = 227,905.25 : x
  2. Step 2: Convert to fraction form
    364,107.76/502,262.91 = 227,905.25/x
  3. Step 3: Cross multiply
    364,107.76x = 502,262.91 × 227,905.25
  4. Step 4: Simplify right side
    364,107.76x = 114,468,351,557.96
  5. Step 5: Solve for x
    x = 114,468,351,557.96/364,107.76
  6. Step 6: Final answer
    x = 314,380.43

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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.