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Finding the Fourth Proportional to 362,803.88, 500,709.92 and 219,642.86

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Solution

The fourth proportional to 362,803.88, 500,709.92 and 219,642.86 is: 303,131.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,803.88 : 500,709.92 = 219,642.86 : x
  2. Step 2: Convert to fraction form
    362,803.88/500,709.92 = 219,642.86/x
  3. Step 3: Cross multiply
    362,803.88x = 500,709.92 × 219,642.86
  4. Step 4: Simplify right side
    362,803.88x = 109,977,355,257.41
  5. Step 5: Solve for x
    x = 109,977,355,257.41/362,803.88
  6. Step 6: Final answer
    x = 303,131.70

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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.