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Finding the Fourth Proportional to 285,144.06, 393,494.04 and 157,816.92

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Solution

The fourth proportional to 285,144.06, 393,494.04 and 157,816.92 is: 217,784.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,144.06 : 393,494.04 = 157,816.92 : x
  2. Step 2: Convert to fraction form
    285,144.06/393,494.04 = 157,816.92/x
  3. Step 3: Cross multiply
    285,144.06x = 393,494.04 × 157,816.92
  4. Step 4: Simplify right side
    285,144.06x = 62,100,017,431.16
  5. Step 5: Solve for x
    x = 62,100,017,431.16/285,144.06
  6. Step 6: Final answer
    x = 217,784.71

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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.