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Finding the Fourth Proportional to 296,204.76, 408,784.50 and 168,883.56

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Solution

The fourth proportional to 296,204.76, 408,784.50 and 168,883.56 is: 233,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,204.76 : 408,784.50 = 168,883.56 : x
  2. Step 2: Convert to fraction form
    296,204.76/408,784.50 = 168,883.56/x
  3. Step 3: Cross multiply
    296,204.76x = 408,784.50 × 168,883.56
  4. Step 4: Simplify right side
    296,204.76x = 69,036,981,632.82
  5. Step 5: Solve for x
    x = 69,036,981,632.82/296,204.76
  6. Step 6: Final answer
    x = 233,071.82

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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.