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Finding the Fourth Proportional to 306,569.97, 459,972 and 119,596.05

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Solution

The fourth proportional to 306,569.97, 459,972 and 119,596.05 is: 179,439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,569.97 : 459,972 = 119,596.05 : x
  2. Step 2: Convert to fraction form
    306,569.97/459,972 = 119,596.05/x
  3. Step 3: Cross multiply
    306,569.97x = 459,972 × 119,596.05
  4. Step 4: Simplify right side
    306,569.97x = 55,010,834,310.60
  5. Step 5: Solve for x
    x = 55,010,834,310.60/306,569.97
  6. Step 6: Final answer
    x = 179,439.74

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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.