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Finding the Fourth Proportional to 412,790.52, 569,713.20 and 251,738.98

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Solution

The fourth proportional to 412,790.52, 569,713.20 and 251,738.98 is: 347,437.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,790.52 : 569,713.20 = 251,738.98 : x
  2. Step 2: Convert to fraction form
    412,790.52/569,713.20 = 251,738.98/x
  3. Step 3: Cross multiply
    412,790.52x = 569,713.20 × 251,738.98
  4. Step 4: Simplify right side
    412,790.52x = 143,419,019,094.55
  5. Step 5: Solve for x
    x = 143,419,019,094.55/412,790.52
  6. Step 6: Final answer
    x = 347,437.77

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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.