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Finding the Fourth Proportional to 384,402.27, 576,658.44 and 118,185.14

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Solution

The fourth proportional to 384,402.27, 576,658.44 and 118,185.14 is: 177,294.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,402.27 : 576,658.44 = 118,185.14 : x
  2. Step 2: Convert to fraction form
    384,402.27/576,658.44 = 118,185.14/x
  3. Step 3: Cross multiply
    384,402.27x = 576,658.44 × 118,185.14
  4. Step 4: Simplify right side
    384,402.27x = 68,152,457,872.66
  5. Step 5: Solve for x
    x = 68,152,457,872.66/384,402.27
  6. Step 6: Final answer
    x = 177,294.63

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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.