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Finding the Fourth Proportional to 296,940.19, 409,759.81 and 176,092.87

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Solution

The fourth proportional to 296,940.19, 409,759.81 and 176,092.87 is: 242,997.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,940.19 : 409,759.81 = 176,092.87 : x
  2. Step 2: Convert to fraction form
    296,940.19/409,759.81 = 176,092.87/x
  3. Step 3: Cross multiply
    296,940.19x = 409,759.81 × 176,092.87
  4. Step 4: Simplify right side
    296,940.19x = 72,155,780,953.55
  5. Step 5: Solve for x
    x = 72,155,780,953.55/296,940.19
  6. Step 6: Final answer
    x = 242,997.69

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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.