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Finding the Fourth Proportional to 296,529.47, 409,239.97 and 169,224.20

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Solution

The fourth proportional to 296,529.47, 409,239.97 and 169,224.20 is: 233,546.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,529.47 : 409,239.97 = 169,224.20 : x
  2. Step 2: Convert to fraction form
    296,529.47/409,239.97 = 169,224.20/x
  3. Step 3: Cross multiply
    296,529.47x = 409,239.97 × 169,224.20
  4. Step 4: Simplify right side
    296,529.47x = 69,253,304,062.01
  5. Step 5: Solve for x
    x = 69,253,304,062.01/296,529.47
  6. Step 6: Final answer
    x = 233,546.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.