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Finding the Fourth Proportional to 516,559.94, 774,847.69 and 196,729.49

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Solution

The fourth proportional to 516,559.94, 774,847.69 and 196,729.49 is: 295,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,559.94 : 774,847.69 = 196,729.49 : x
  2. Step 2: Convert to fraction form
    516,559.94/774,847.69 = 196,729.49/x
  3. Step 3: Cross multiply
    516,559.94x = 774,847.69 × 196,729.49
  4. Step 4: Simplify right side
    516,559.94x = 152,435,390,881.38
  5. Step 5: Solve for x
    x = 152,435,390,881.38/516,559.94
  6. Step 6: Final answer
    x = 295,097.20

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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.