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Finding the Fourth Proportional to 339,102.88, 467,998.54 and 216,706.82

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Solution

The fourth proportional to 339,102.88, 467,998.54 and 216,706.82 is: 299,078.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,102.88 : 467,998.54 = 216,706.82 : x
  2. Step 2: Convert to fraction form
    339,102.88/467,998.54 = 216,706.82/x
  3. Step 3: Cross multiply
    339,102.88x = 467,998.54 × 216,706.82
  4. Step 4: Simplify right side
    339,102.88x = 101,418,475,368.04
  5. Step 5: Solve for x
    x = 101,418,475,368.04/339,102.88
  6. Step 6: Final answer
    x = 299,078.78

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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.