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Finding the Fourth Proportional to 409,799.88, 614,699.82 and 129,339

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Solution

The fourth proportional to 409,799.88, 614,699.82 and 129,339 is: 194,008.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,799.88 : 614,699.82 = 129,339 : x
  2. Step 2: Convert to fraction form
    409,799.88/614,699.82 = 129,339/x
  3. Step 3: Cross multiply
    409,799.88x = 614,699.82 × 129,339
  4. Step 4: Simplify right side
    409,799.88x = 79,504,660,018.98
  5. Step 5: Solve for x
    x = 79,504,660,018.98/409,799.88
  6. Step 6: Final answer
    x = 194,008.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.