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Finding the Fourth Proportional to 516,738.36, 713,138.88 and 310,014.49

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Solution

The fourth proportional to 516,738.36, 713,138.88 and 310,014.49 is: 427,843.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,738.36 : 713,138.88 = 310,014.49 : x
  2. Step 2: Convert to fraction form
    516,738.36/713,138.88 = 310,014.49/x
  3. Step 3: Cross multiply
    516,738.36x = 713,138.88 × 310,014.49
  4. Step 4: Simplify right side
    516,738.36x = 221,083,384,632.30
  5. Step 5: Solve for x
    x = 221,083,384,632.30/516,738.36
  6. Step 6: Final answer
    x = 427,843.96

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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.