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Finding the Fourth Proportional to 285,143.33, 393,496.30 and 157,814.57

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Solution

The fourth proportional to 285,143.33, 393,496.30 and 157,814.57 is: 217,783.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,143.33 : 393,496.30 = 157,814.57 : x
  2. Step 2: Convert to fraction form
    285,143.33/393,496.30 = 157,814.57/x
  3. Step 3: Cross multiply
    285,143.33x = 393,496.30 × 157,814.57
  4. Step 4: Simplify right side
    285,143.33x = 62,099,449,381.09
  5. Step 5: Solve for x
    x = 62,099,449,381.09/285,143.33
  6. Step 6: Final answer
    x = 217,783.28

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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.