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Finding the Fourth Proportional to 407,767.55, 562,719.15 and 226,496.30

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Solution

The fourth proportional to 407,767.55, 562,719.15 and 226,496.30 is: 312,564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,767.55 : 562,719.15 = 226,496.30 : x
  2. Step 2: Convert to fraction form
    407,767.55/562,719.15 = 226,496.30/x
  3. Step 3: Cross multiply
    407,767.55x = 562,719.15 × 226,496.30
  4. Step 4: Simplify right side
    407,767.55x = 127,453,802,600.55
  5. Step 5: Solve for x
    x = 127,453,802,600.55/407,767.55
  6. Step 6: Final answer
    x = 312,564.85

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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.