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Finding the Fourth Proportional to 306,294.66, 459,442.02 and 95,949

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Solution

The fourth proportional to 306,294.66, 459,442.02 and 95,949 is: 143,923.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,294.66 : 459,442.02 = 95,949 : x
  2. Step 2: Convert to fraction form
    306,294.66/459,442.02 = 95,949/x
  3. Step 3: Cross multiply
    306,294.66x = 459,442.02 × 95,949
  4. Step 4: Simplify right side
    306,294.66x = 44,083,002,376.98
  5. Step 5: Solve for x
    x = 44,083,002,376.98/306,294.66
  6. Step 6: Final answer
    x = 143,923.51

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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.