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Finding the Fourth Proportional to 463,314.24, 639,305.44 and 259,354.56

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Solution

The fourth proportional to 463,314.24, 639,305.44 and 259,354.56 is: 357,871.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,314.24 : 639,305.44 = 259,354.56 : x
  2. Step 2: Convert to fraction form
    463,314.24/639,305.44 = 259,354.56/x
  3. Step 3: Cross multiply
    463,314.24x = 639,305.44 × 259,354.56
  4. Step 4: Simplify right side
    463,314.24x = 165,806,781,096.81
  5. Step 5: Solve for x
    x = 165,806,781,096.81/463,314.24
  6. Step 6: Final answer
    x = 357,871.11

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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.