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Finding the Fourth Proportional to 412,916.54, 569,773.64 and 231,603.30

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Solution

The fourth proportional to 412,916.54, 569,773.64 and 231,603.30 is: 319,583.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,916.54 : 569,773.64 = 231,603.30 : x
  2. Step 2: Convert to fraction form
    412,916.54/569,773.64 = 231,603.30/x
  3. Step 3: Cross multiply
    412,916.54x = 569,773.64 × 231,603.30
  4. Step 4: Simplify right side
    412,916.54x = 131,961,455,856.02
  5. Step 5: Solve for x
    x = 131,961,455,856.02/412,916.54
  6. Step 6: Final answer
    x = 319,583.85

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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.