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Finding the Fourth Proportional to 635,414.16, 876,652.34 and 406,105.67

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Solution

The fourth proportional to 635,414.16, 876,652.34 and 406,105.67 is: 560,285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,414.16 : 876,652.34 = 406,105.67 : x
  2. Step 2: Convert to fraction form
    635,414.16/876,652.34 = 406,105.67/x
  3. Step 3: Cross multiply
    635,414.16x = 876,652.34 × 406,105.67
  4. Step 4: Simplify right side
    635,414.16x = 356,013,485,892.77
  5. Step 5: Solve for x
    x = 356,013,485,892.77/635,414.16
  6. Step 6: Final answer
    x = 560,285.73

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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.