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Finding the Fourth Proportional to 296,341.63, 408,951.49 and 160,375.62

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Solution

The fourth proportional to 296,341.63, 408,951.49 and 160,375.62 is: 221,318.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,341.63 : 408,951.49 = 160,375.62 : x
  2. Step 2: Convert to fraction form
    296,341.63/408,951.49 = 160,375.62/x
  3. Step 3: Cross multiply
    296,341.63x = 408,951.49 × 160,375.62
  4. Step 4: Simplify right side
    296,341.63x = 65,585,848,758.67
  5. Step 5: Solve for x
    x = 65,585,848,758.67/296,341.63
  6. Step 6: Final answer
    x = 221,318.38

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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.