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Finding the Fourth Proportional to 506,093.92, 698,410.29 and 291,229.72

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Solution

The fourth proportional to 506,093.92, 698,410.29 and 291,229.72 is: 401,897.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,093.92 : 698,410.29 = 291,229.72 : x
  2. Step 2: Convert to fraction form
    506,093.92/698,410.29 = 291,229.72/x
  3. Step 3: Cross multiply
    506,093.92x = 698,410.29 × 291,229.72
  4. Step 4: Simplify right side
    506,093.92x = 203,397,833,201.82
  5. Step 5: Solve for x
    x = 203,397,833,201.82/506,093.92
  6. Step 6: Final answer
    x = 401,897.41

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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.