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Finding the Fourth Proportional to 469,538.15, 647,449.13 and 348,903.23

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Solution

The fourth proportional to 469,538.15, 647,449.13 and 348,903.23 is: 481,104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,538.15 : 647,449.13 = 348,903.23 : x
  2. Step 2: Convert to fraction form
    469,538.15/647,449.13 = 348,903.23/x
  3. Step 3: Cross multiply
    469,538.15x = 647,449.13 × 348,903.23
  4. Step 4: Simplify right side
    469,538.15x = 225,897,092,717.69
  5. Step 5: Solve for x
    x = 225,897,092,717.69/469,538.15
  6. Step 6: Final answer
    x = 481,104.87

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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.