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Finding the Fourth Proportional to 520,512.60, 780,768.90 and 254,443.80

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Solution

The fourth proportional to 520,512.60, 780,768.90 and 254,443.80 is: 381,665.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,512.60 : 780,768.90 = 254,443.80 : x
  2. Step 2: Convert to fraction form
    520,512.60/780,768.90 = 254,443.80/x
  3. Step 3: Cross multiply
    520,512.60x = 780,768.90 × 254,443.80
  4. Step 4: Simplify right side
    520,512.60x = 198,661,805,837.82
  5. Step 5: Solve for x
    x = 198,661,805,837.82/520,512.60
  6. Step 6: Final answer
    x = 381,665.70

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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.