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Finding the Fourth Proportional to 407,585.72, 562,469.67 and 226,298.21

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Solution

The fourth proportional to 407,585.72, 562,469.67 and 226,298.21 is: 312,292.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,585.72 : 562,469.67 = 226,298.21 : x
  2. Step 2: Convert to fraction form
    407,585.72/562,469.67 = 226,298.21/x
  3. Step 3: Cross multiply
    407,585.72x = 562,469.67 × 226,298.21
  4. Step 4: Simplify right side
    407,585.72x = 127,285,876,687.94
  5. Step 5: Solve for x
    x = 127,285,876,687.94/407,585.72
  6. Step 6: Final answer
    x = 312,292.29

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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.