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Finding the Fourth Proportional to 296,527.40, 409,207.97 and 160,561.41

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Solution

The fourth proportional to 296,527.40, 409,207.97 and 160,561.41 is: 221,574.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,527.40 : 409,207.97 = 160,561.41 : x
  2. Step 2: Convert to fraction form
    296,527.40/409,207.97 = 160,561.41/x
  3. Step 3: Cross multiply
    296,527.40x = 409,207.97 × 160,561.41
  4. Step 4: Simplify right side
    296,527.40x = 65,703,007,513.31
  5. Step 5: Solve for x
    x = 65,703,007,513.31/296,527.40
  6. Step 6: Final answer
    x = 221,574.83

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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.