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Finding the Fourth Proportional to 409,085.47, 564,538.58 and 227,832.31

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Solution

The fourth proportional to 409,085.47, 564,538.58 and 227,832.31 is: 314,408.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,085.47 : 564,538.58 = 227,832.31 : x
  2. Step 2: Convert to fraction form
    409,085.47/564,538.58 = 227,832.31/x
  3. Step 3: Cross multiply
    409,085.47x = 564,538.58 × 227,832.31
  4. Step 4: Simplify right side
    409,085.47x = 128,620,128,765.52
  5. Step 5: Solve for x
    x = 128,620,128,765.52/409,085.47
  6. Step 6: Final answer
    x = 314,408.94

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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.