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Finding the Fourth Proportional to 407,291.17, 562,070.81 and 225,997.38

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Solution

The fourth proportional to 407,291.17, 562,070.81 and 225,997.38 is: 311,881.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,291.17 : 562,070.81 = 225,997.38 : x
  2. Step 2: Convert to fraction form
    407,291.17/562,070.81 = 225,997.38/x
  3. Step 3: Cross multiply
    407,291.17x = 562,070.81 × 225,997.38
  4. Step 4: Simplify right side
    407,291.17x = 127,026,530,434.48
  5. Step 5: Solve for x
    x = 127,026,530,434.48/407,291.17
  6. Step 6: Final answer
    x = 311,881.38

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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.