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Finding the Fourth Proportional to 397,614.82, 548,702.42 and 216,322.61

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Solution

The fourth proportional to 397,614.82, 548,702.42 and 216,322.61 is: 298,521.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,614.82 : 548,702.42 = 216,322.61 : x
  2. Step 2: Convert to fraction form
    397,614.82/548,702.42 = 216,322.61/x
  3. Step 3: Cross multiply
    397,614.82x = 548,702.42 × 216,322.61
  4. Step 4: Simplify right side
    397,614.82x = 118,696,737,840.23
  5. Step 5: Solve for x
    x = 118,696,737,840.23/397,614.82
  6. Step 6: Final answer
    x = 298,521.92

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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.