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Finding the Fourth Proportional to 285,294.42, 393,706.29 and 157,969.98

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Solution

The fourth proportional to 285,294.42, 393,706.29 and 157,969.98 is: 217,998.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,294.42 : 393,706.29 = 157,969.98 : x
  2. Step 2: Convert to fraction form
    285,294.42/393,706.29 = 157,969.98/x
  3. Step 3: Cross multiply
    285,294.42x = 393,706.29 × 157,969.98
  4. Step 4: Simplify right side
    285,294.42x = 62,193,774,757.17
  5. Step 5: Solve for x
    x = 62,193,774,757.17/285,294.42
  6. Step 6: Final answer
    x = 217,998.57

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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.