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Finding the Fourth Proportional to 516,541.84, 774,830.24 and 137,462.94

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Solution

The fourth proportional to 516,541.84, 774,830.24 and 137,462.94 is: 206,199.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,541.84 : 774,830.24 = 137,462.94 : x
  2. Step 2: Convert to fraction form
    516,541.84/774,830.24 = 137,462.94/x
  3. Step 3: Cross multiply
    516,541.84x = 774,830.24 × 137,462.94
  4. Step 4: Simplify right side
    516,541.84x = 106,510,442,791.31
  5. Step 5: Solve for x
    x = 106,510,442,791.31/516,541.84
  6. Step 6: Final answer
    x = 206,199.06

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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.