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Finding the Fourth Proportional to 285,297.75, 393,706.08 and 157,970.61

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Solution

The fourth proportional to 285,297.75, 393,706.08 and 157,970.61 is: 217,996.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,297.75 : 393,706.08 = 157,970.61 : x
  2. Step 2: Convert to fraction form
    285,297.75/393,706.08 = 157,970.61/x
  3. Step 3: Cross multiply
    285,297.75x = 393,706.08 × 157,970.61
  4. Step 4: Simplify right side
    285,297.75x = 62,193,989,618.31
  5. Step 5: Solve for x
    x = 62,193,989,618.31/285,297.75
  6. Step 6: Final answer
    x = 217,996.78

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1.5x scale

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.