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Finding the Fourth Proportional to 516,081.70, 774,121.74 and 338,546.44

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Solution

The fourth proportional to 516,081.70, 774,121.74 and 338,546.44 is: 507,819.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,081.70 : 774,121.74 = 338,546.44 : x
  2. Step 2: Convert to fraction form
    516,081.70/774,121.74 = 338,546.44/x
  3. Step 3: Cross multiply
    516,081.70x = 774,121.74 × 338,546.44
  4. Step 4: Simplify right side
    516,081.70x = 262,076,159,203.61
  5. Step 5: Solve for x
    x = 262,076,159,203.61/516,081.70
  6. Step 6: Final answer
    x = 507,819.13

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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.