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Finding the Fourth Proportional to 285,298.25, 393,706.77 and 157,971.11

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Solution

The fourth proportional to 285,298.25, 393,706.77 and 157,971.11 is: 217,997.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,298.25 : 393,706.77 = 157,971.11 : x
  2. Step 2: Convert to fraction form
    285,298.25/393,706.77 = 157,971.11/x
  3. Step 3: Cross multiply
    285,298.25x = 393,706.77 × 157,971.11
  4. Step 4: Simplify right side
    285,298.25x = 62,194,293,502.88
  5. Step 5: Solve for x
    x = 62,194,293,502.88/285,298.25
  6. Step 6: Final answer
    x = 217,997.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.