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Finding the Fourth Proportional to 296,333.92, 408,941.49 and 167,300.38

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Solution

The fourth proportional to 296,333.92, 408,941.49 and 167,300.38 is: 230,874.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,333.92 : 408,941.49 = 167,300.38 : x
  2. Step 2: Convert to fraction form
    296,333.92/408,941.49 = 167,300.38/x
  3. Step 3: Cross multiply
    296,333.92x = 408,941.49 × 167,300.38
  4. Step 4: Simplify right side
    296,333.92x = 68,416,066,674.77
  5. Step 5: Solve for x
    x = 68,416,066,674.77/296,333.92
  6. Step 6: Final answer
    x = 230,874.91

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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.