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Finding the Fourth Proportional to 516,395.98, 774,419.82 and 196,471.90

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Solution

The fourth proportional to 516,395.98, 774,419.82 and 196,471.90 is: 294,641.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,395.98 : 774,419.82 = 196,471.90 : x
  2. Step 2: Convert to fraction form
    516,395.98/774,419.82 = 196,471.90/x
  3. Step 3: Cross multiply
    516,395.98x = 774,419.82 × 196,471.90
  4. Step 4: Simplify right side
    516,395.98x = 152,151,733,433.06
  5. Step 5: Solve for x
    x = 152,151,733,433.06/516,395.98
  6. Step 6: Final answer
    x = 294,641.59

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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.