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Finding the Fourth Proportional to 388,499.88, 581,654.17 and 205,716.49

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Solution

The fourth proportional to 388,499.88, 581,654.17 and 205,716.49 is: 307,994.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,499.88 : 581,654.17 = 205,716.49 : x
  2. Step 2: Convert to fraction form
    388,499.88/581,654.17 = 205,716.49/x
  3. Step 3: Cross multiply
    388,499.88x = 581,654.17 × 205,716.49
  4. Step 4: Simplify right side
    388,499.88x = 119,655,854,246.26
  5. Step 5: Solve for x
    x = 119,655,854,246.26/388,499.88
  6. Step 6: Final answer
    x = 307,994.57

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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.