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Finding the Fourth Proportional to 296,687.84, 409,502.45 and 169,437.24

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Solution

The fourth proportional to 296,687.84, 409,502.45 and 169,437.24 is: 233,865.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,687.84 : 409,502.45 = 169,437.24 : x
  2. Step 2: Convert to fraction form
    296,687.84/409,502.45 = 169,437.24/x
  3. Step 3: Cross multiply
    296,687.84x = 409,502.45 × 169,437.24
  4. Step 4: Simplify right side
    296,687.84x = 69,384,965,324.83
  5. Step 5: Solve for x
    x = 69,384,965,324.83/296,687.84
  6. Step 6: Final answer
    x = 233,865.22

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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.