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Finding the Fourth Proportional to 285,455.72, 393,469.78 and 193,545.24

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Solution

The fourth proportional to 285,455.72, 393,469.78 and 193,545.24 is: 266,781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,455.72 : 393,469.78 = 193,545.24 : x
  2. Step 2: Convert to fraction form
    285,455.72/393,469.78 = 193,545.24/x
  3. Step 3: Cross multiply
    285,455.72x = 393,469.78 × 193,545.24
  4. Step 4: Simplify right side
    285,455.72x = 76,154,203,002.85
  5. Step 5: Solve for x
    x = 76,154,203,002.85/285,455.72
  6. Step 6: Final answer
    x = 266,781.14

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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.