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Finding the Fourth Proportional to 386,502.94, 579,758.87 and 116,633.42

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Solution

The fourth proportional to 386,502.94, 579,758.87 and 116,633.42 is: 174,951.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,502.94 : 579,758.87 = 116,633.42 : x
  2. Step 2: Convert to fraction form
    386,502.94/579,758.87 = 116,633.42/x
  3. Step 3: Cross multiply
    386,502.94x = 579,758.87 × 116,633.42
  4. Step 4: Simplify right side
    386,502.94x = 67,619,258,625.62
  5. Step 5: Solve for x
    x = 67,619,258,625.62/386,502.94
  6. Step 6: Final answer
    x = 174,951.47

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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.