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Finding the Fourth Proportional to 362,860.41, 500,746.06 and 199,527.61

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Solution

The fourth proportional to 362,860.41, 500,746.06 and 199,527.61 is: 275,347.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,860.41 : 500,746.06 = 199,527.61 : x
  2. Step 2: Convert to fraction form
    362,860.41/500,746.06 = 199,527.61/x
  3. Step 3: Cross multiply
    362,860.41x = 500,746.06 × 199,527.61
  4. Step 4: Simplify right side
    362,860.41x = 99,912,663,571.08
  5. Step 5: Solve for x
    x = 99,912,663,571.08/362,860.41
  6. Step 6: Final answer
    x = 275,347.38

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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.