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Finding the Fourth Proportional to 407,772.76, 562,706.90 and 226,496.20

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Solution

The fourth proportional to 407,772.76, 562,706.90 and 226,496.20 is: 312,553.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,772.76 : 562,706.90 = 226,496.20 : x
  2. Step 2: Convert to fraction form
    407,772.76/562,706.90 = 226,496.20/x
  3. Step 3: Cross multiply
    407,772.76x = 562,706.90 × 226,496.20
  4. Step 4: Simplify right side
    407,772.76x = 127,450,974,563.78
  5. Step 5: Solve for x
    x = 127,450,974,563.78/407,772.76
  6. Step 6: Final answer
    x = 312,553.92

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Double scale
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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.