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Finding the Fourth Proportional to 296,635.47, 409,355.94 and 160,669.08

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Solution

The fourth proportional to 296,635.47, 409,355.94 and 160,669.08 is: 221,722.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,635.47 : 409,355.94 = 160,669.08 : x
  2. Step 2: Convert to fraction form
    296,635.47/409,355.94 = 160,669.08/x
  3. Step 3: Cross multiply
    296,635.47x = 409,355.94 × 160,669.08
  4. Step 4: Simplify right side
    296,635.47x = 65,770,842,272.34
  5. Step 5: Solve for x
    x = 65,770,842,272.34/296,635.47
  6. Step 6: Final answer
    x = 221,722.78

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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.