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Finding the Fourth Proportional to 296,479.09, 409,141.41 and 160,513.13

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Solution

The fourth proportional to 296,479.09, 409,141.41 and 160,513.13 is: 221,508.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,479.09 : 409,141.41 = 160,513.13 : x
  2. Step 2: Convert to fraction form
    296,479.09/409,141.41 = 160,513.13/x
  3. Step 3: Cross multiply
    296,479.09x = 409,141.41 × 160,513.13
  4. Step 4: Simplify right side
    296,479.09x = 65,672,568,331.71
  5. Step 5: Solve for x
    x = 65,672,568,331.71/296,479.09
  6. Step 6: Final answer
    x = 221,508.26

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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.