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Finding the Fourth Proportional to 296,603.59, 409,314.18 and 160,639.15

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Solution

The fourth proportional to 296,603.59, 409,314.18 and 160,639.15 is: 221,682.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,603.59 : 409,314.18 = 160,639.15 : x
  2. Step 2: Convert to fraction form
    296,603.59/409,314.18 = 160,639.15/x
  3. Step 3: Cross multiply
    296,603.59x = 409,314.18 × 160,639.15
  4. Step 4: Simplify right side
    296,603.59x = 65,751,881,958.15
  5. Step 5: Solve for x
    x = 65,751,881,958.15/296,603.59
  6. Step 6: Final answer
    x = 221,682.69

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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.