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Finding the Fourth Proportional to 285,056.76, 393,372.78 and 157,732.44

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Solution

The fourth proportional to 285,056.76, 393,372.78 and 157,732.44 is: 217,667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,056.76 : 393,372.78 = 157,732.44 : x
  2. Step 2: Convert to fraction form
    285,056.76/393,372.78 = 157,732.44/x
  3. Step 3: Cross multiply
    285,056.76x = 393,372.78 × 157,732.44
  4. Step 4: Simplify right side
    285,056.76x = 62,047,648,418.98
  5. Step 5: Solve for x
    x = 62,047,648,418.98/285,056.76
  6. Step 6: Final answer
    x = 217,667.70

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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.