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Finding the Fourth Proportional to 414,190.01, 572,600.79 and 410,401.04

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Solution

The fourth proportional to 414,190.01, 572,600.79 and 410,401.04 is: 567,362.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,190.01 : 572,600.79 = 410,401.04 : x
  2. Step 2: Convert to fraction form
    414,190.01/572,600.79 = 410,401.04/x
  3. Step 3: Cross multiply
    414,190.01x = 572,600.79 × 410,401.04
  4. Step 4: Simplify right side
    414,190.01x = 234,995,956,857.82
  5. Step 5: Solve for x
    x = 234,995,956,857.82/414,190.01
  6. Step 6: Final answer
    x = 567,362.69

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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.