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Finding the Fourth Proportional to 407,363.04, 562,194.54 and 226,071.68

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Solution

The fourth proportional to 407,363.04, 562,194.54 and 226,071.68 is: 311,997.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,363.04 : 562,194.54 = 226,071.68 : x
  2. Step 2: Convert to fraction form
    407,363.04/562,194.54 = 226,071.68/x
  3. Step 3: Cross multiply
    407,363.04x = 562,194.54 × 226,071.68
  4. Step 4: Simplify right side
    407,363.04x = 127,096,261,333.66
  5. Step 5: Solve for x
    x = 127,096,261,333.66/407,363.04
  6. Step 6: Final answer
    x = 311,997.53

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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.