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Finding the Fourth Proportional to 296,544.84, 409,261.23 and 169,239.57

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Solution

The fourth proportional to 296,544.84, 409,261.23 and 169,239.57 is: 233,567.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,544.84 : 409,261.23 = 169,239.57 : x
  2. Step 2: Convert to fraction form
    296,544.84/409,261.23 = 169,239.57/x
  3. Step 3: Cross multiply
    296,544.84x = 409,261.23 × 169,239.57
  4. Step 4: Simplify right side
    296,544.84x = 69,263,194,582.87
  5. Step 5: Solve for x
    x = 69,263,194,582.87/296,544.84
  6. Step 6: Final answer
    x = 233,567.36

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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.