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Finding the Fourth Proportional to 334,464.94, 501,773.97 and 144,956.83

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Solution

The fourth proportional to 334,464.94, 501,773.97 and 144,956.83 is: 217,468.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,464.94 : 501,773.97 = 144,956.83 : x
  2. Step 2: Convert to fraction form
    334,464.94/501,773.97 = 144,956.83/x
  3. Step 3: Cross multiply
    334,464.94x = 501,773.97 × 144,956.83
  4. Step 4: Simplify right side
    334,464.94x = 72,735,564,067.72
  5. Step 5: Solve for x
    x = 72,735,564,067.72/334,464.94
  6. Step 6: Final answer
    x = 217,468.43

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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.