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Finding the Fourth Proportional to 649,930.77, 974,480.69 and 312,299.55

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Solution

The fourth proportional to 649,930.77, 974,480.69 and 312,299.55 is: 468,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,930.77 : 974,480.69 = 312,299.55 : x
  2. Step 2: Convert to fraction form
    649,930.77/974,480.69 = 312,299.55/x
  3. Step 3: Cross multiply
    649,930.77x = 974,480.69 × 312,299.55
  4. Step 4: Simplify right side
    649,930.77x = 304,329,881,751.44
  5. Step 5: Solve for x
    x = 304,329,881,751.44/649,930.77
  6. Step 6: Final answer
    x = 468,249.69

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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.