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Finding the Fourth Proportional to 412,790.02, 569,712.50 and 251,738.49

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Solution

The fourth proportional to 412,790.02, 569,712.50 and 251,738.49 is: 347,437.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,790.02 : 569,712.50 = 251,738.49 : x
  2. Step 2: Convert to fraction form
    412,790.02/569,712.50 = 251,738.49/x
  3. Step 3: Cross multiply
    412,790.02x = 569,712.50 × 251,738.49
  4. Step 4: Simplify right side
    412,790.02x = 143,418,565,361.85
  5. Step 5: Solve for x
    x = 143,418,565,361.85/412,790.02
  6. Step 6: Final answer
    x = 347,437.09

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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.