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Finding the Fourth Proportional to 296,773.84, 409,539 and 169,424.56

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Solution

The fourth proportional to 296,773.84, 409,539 and 169,424.56 is: 233,800.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,773.84 : 409,539 = 169,424.56 : x
  2. Step 2: Convert to fraction form
    296,773.84/409,539 = 169,424.56/x
  3. Step 3: Cross multiply
    296,773.84x = 409,539 × 169,424.56
  4. Step 4: Simplify right side
    296,773.84x = 69,385,964,877.84
  5. Step 5: Solve for x
    x = 69,385,964,877.84/296,773.84
  6. Step 6: Final answer
    x = 233,800.81

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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.