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Finding the Fourth Proportional to 358,270.68, 494,417.88 and 205,315.14

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Solution

The fourth proportional to 358,270.68, 494,417.88 and 205,315.14 is: 283,337.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,270.68 : 494,417.88 = 205,315.14 : x
  2. Step 2: Convert to fraction form
    358,270.68/494,417.88 = 205,315.14/x
  3. Step 3: Cross multiply
    358,270.68x = 494,417.88 × 205,315.14
  4. Step 4: Simplify right side
    358,270.68x = 101,511,476,250.70
  5. Step 5: Solve for x
    x = 101,511,476,250.70/358,270.68
  6. Step 6: Final answer
    x = 283,337.38

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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.