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Finding the Fourth Proportional to 516,538.84, 774,825.74 and 137,459.94

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Solution

The fourth proportional to 516,538.84, 774,825.74 and 137,459.94 is: 206,194.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,538.84 : 774,825.74 = 137,459.94 : x
  2. Step 2: Convert to fraction form
    516,538.84/774,825.74 = 137,459.94/x
  3. Step 3: Cross multiply
    516,538.84x = 774,825.74 × 137,459.94
  4. Step 4: Simplify right side
    516,538.84x = 106,507,499,730.86
  5. Step 5: Solve for x
    x = 106,507,499,730.86/516,538.84
  6. Step 6: Final answer
    x = 206,194.56

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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.