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Finding the Fourth Proportional to 506,092.92, 698,408.91 and 291,228.72

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Solution

The fourth proportional to 506,092.92, 698,408.91 and 291,228.72 is: 401,896.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,092.92 : 698,408.91 = 291,228.72 : x
  2. Step 2: Convert to fraction form
    506,092.92/698,408.91 = 291,228.72/x
  3. Step 3: Cross multiply
    506,092.92x = 698,408.91 × 291,228.72
  4. Step 4: Simplify right side
    506,092.92x = 203,396,732,895.90
  5. Step 5: Solve for x
    x = 203,396,732,895.90/506,092.92
  6. Step 6: Final answer
    x = 401,896.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.