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Finding the Fourth Proportional to 296,438.49, 409,083.62 and 160,472.70

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Solution

The fourth proportional to 296,438.49, 409,083.62 and 160,472.70 is: 221,451.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,438.49 : 409,083.62 = 160,472.70 : x
  2. Step 2: Convert to fraction form
    296,438.49/409,083.62 = 160,472.70/x
  3. Step 3: Cross multiply
    296,438.49x = 409,083.62 × 160,472.70
  4. Step 4: Simplify right side
    296,438.49x = 65,646,752,224.81
  5. Step 5: Solve for x
    x = 65,646,752,224.81/296,438.49
  6. Step 6: Final answer
    x = 221,451.51

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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.