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Finding the Fourth Proportional to 285,298.28, 393,706.82 and 157,971.14

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Solution

The fourth proportional to 285,298.28, 393,706.82 and 157,971.14 is: 217,997.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,298.28 : 393,706.82 = 157,971.14 : x
  2. Step 2: Convert to fraction form
    285,298.28/393,706.82 = 157,971.14/x
  3. Step 3: Cross multiply
    285,298.28x = 393,706.82 × 157,971.14
  4. Step 4: Simplify right side
    285,298.28x = 62,194,314,391.32
  5. Step 5: Solve for x
    x = 62,194,314,391.32/285,298.28
  6. Step 6: Final answer
    x = 217,997.51

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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.