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Finding the Fourth Proportional to 366,960.38, 506,406.23 and 214,103.66

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Solution

The fourth proportional to 366,960.38, 506,406.23 and 214,103.66 is: 295,463.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,960.38 : 506,406.23 = 214,103.66 : x
  2. Step 2: Convert to fraction form
    366,960.38/506,406.23 = 214,103.66/x
  3. Step 3: Cross multiply
    366,960.38x = 506,406.23 × 214,103.66
  4. Step 4: Simplify right side
    366,960.38x = 108,423,424,490.14
  5. Step 5: Solve for x
    x = 108,423,424,490.14/366,960.38
  6. Step 6: Final answer
    x = 295,463.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.