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Finding the Fourth Proportional to 296,343.48, 408,949.80 and 169,021.20

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Solution

The fourth proportional to 296,343.48, 408,949.80 and 169,021.20 is: 233,246.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,343.48 : 408,949.80 = 169,021.20 : x
  2. Step 2: Convert to fraction form
    296,343.48/408,949.80 = 169,021.20/x
  3. Step 3: Cross multiply
    296,343.48x = 408,949.80 × 169,021.20
  4. Step 4: Simplify right side
    296,343.48x = 69,121,185,935.76
  5. Step 5: Solve for x
    x = 69,121,185,935.76/296,343.48
  6. Step 6: Final answer
    x = 233,246.86

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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.