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Finding the Fourth Proportional to 516,560.94, 774,849.19 and 196,730.49

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Solution

The fourth proportional to 516,560.94, 774,849.19 and 196,730.49 is: 295,098.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,560.94 : 774,849.19 = 196,730.49 : x
  2. Step 2: Convert to fraction form
    516,560.94/774,849.19 = 196,730.49/x
  3. Step 3: Cross multiply
    516,560.94x = 774,849.19 × 196,730.49
  4. Step 4: Simplify right side
    516,560.94x = 152,436,460,824.80
  5. Step 5: Solve for x
    x = 152,436,460,824.80/516,560.94
  6. Step 6: Final answer
    x = 295,098.70

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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.