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Finding the Fourth Proportional to 306,643.24, 459,932.50 and 82,026.35

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Solution

The fourth proportional to 306,643.24, 459,932.50 and 82,026.35 is: 123,030.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,643.24 : 459,932.50 = 82,026.35 : x
  2. Step 2: Convert to fraction form
    306,643.24/459,932.50 = 82,026.35/x
  3. Step 3: Cross multiply
    306,643.24x = 459,932.50 × 82,026.35
  4. Step 4: Simplify right side
    306,643.24x = 37,726,584,221.38
  5. Step 5: Solve for x
    x = 37,726,584,221.38/306,643.24
  6. Step 6: Final answer
    x = 123,030.87

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