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Finding the Fourth Proportional to 407,706.23, 562,660.63 and 226,418.11

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Solution

The fourth proportional to 407,706.23, 562,660.63 and 226,418.11 is: 312,471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,706.23 : 562,660.63 = 226,418.11 : x
  2. Step 2: Convert to fraction form
    407,706.23/562,660.63 = 226,418.11/x
  3. Step 3: Cross multiply
    407,706.23x = 562,660.63 × 226,418.11
  4. Step 4: Simplify right side
    407,706.23x = 127,396,554,443.31
  5. Step 5: Solve for x
    x = 127,396,554,443.31/407,706.23
  6. Step 6: Final answer
    x = 312,471.44

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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.