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Finding the Fourth Proportional to 306,658.14, 459,954.80 and 82,041.24

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Solution

The fourth proportional to 306,658.14, 459,954.80 and 82,041.24 is: 123,053.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,658.14 : 459,954.80 = 82,041.24 : x
  2. Step 2: Convert to fraction form
    306,658.14/459,954.80 = 82,041.24/x
  3. Step 3: Cross multiply
    306,658.14x = 459,954.80 × 82,041.24
  4. Step 4: Simplify right side
    306,658.14x = 37,735,262,135.95
  5. Step 5: Solve for x
    x = 37,735,262,135.95/306,658.14
  6. Step 6: Final answer
    x = 123,053.19

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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.