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Finding the Fourth Proportional to 296,527.68, 409,208.13 and 160,561.62

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Solution

The fourth proportional to 296,527.68, 409,208.13 and 160,561.62 is: 221,575.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,527.68 : 409,208.13 = 160,561.62 : x
  2. Step 2: Convert to fraction form
    296,527.68/409,208.13 = 160,561.62/x
  3. Step 3: Cross multiply
    296,527.68x = 409,208.13 × 160,561.62
  4. Step 4: Simplify right side
    296,527.68x = 65,703,120,269.97
  5. Step 5: Solve for x
    x = 65,703,120,269.97/296,527.68
  6. Step 6: Final answer
    x = 221,575.00

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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.