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Finding the Fourth Proportional to 488,727.60, 733,054.95 and 204,344.70

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Solution

The fourth proportional to 488,727.60, 733,054.95 and 204,344.70 is: 306,501.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,727.60 : 733,054.95 = 204,344.70 : x
  2. Step 2: Convert to fraction form
    488,727.60/733,054.95 = 204,344.70/x
  3. Step 3: Cross multiply
    488,727.60x = 733,054.95 × 204,344.70
  4. Step 4: Simplify right side
    488,727.60x = 149,795,893,841.27
  5. Step 5: Solve for x
    x = 149,795,893,841.27/488,727.60
  6. Step 6: Final answer
    x = 306,501.81

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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.