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Finding the Fourth Proportional to 296,284.23, 408,869.16 and 160,315.17

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Solution

The fourth proportional to 296,284.23, 408,869.16 and 160,315.17 is: 221,233.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,284.23 : 408,869.16 = 160,315.17 : x
  2. Step 2: Convert to fraction form
    296,284.23/408,869.16 = 160,315.17/x
  3. Step 3: Cross multiply
    296,284.23x = 408,869.16 × 160,315.17
  4. Step 4: Simplify right side
    296,284.23x = 65,547,928,893.16
  5. Step 5: Solve for x
    x = 65,547,928,893.16/296,284.23
  6. Step 6: Final answer
    x = 221,233.27

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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.