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Finding the Fourth Proportional to 498,786.50, 688,078.74 and 294,738.71

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Solution

The fourth proportional to 498,786.50, 688,078.74 and 294,738.71 is: 406,593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,786.50 : 688,078.74 = 294,738.71 : x
  2. Step 2: Convert to fraction form
    498,786.50/688,078.74 = 294,738.71/x
  3. Step 3: Cross multiply
    498,786.50x = 688,078.74 × 294,738.71
  4. Step 4: Simplify right side
    498,786.50x = 202,803,436,765.63
  5. Step 5: Solve for x
    x = 202,803,436,765.63/498,786.50
  6. Step 6: Final answer
    x = 406,593.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.