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Finding the Fourth Proportional to 362,803.20, 544,204.80 and 165,811.20

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Solution

The fourth proportional to 362,803.20, 544,204.80 and 165,811.20 is: 248,716.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,803.20 : 544,204.80 = 165,811.20 : x
  2. Step 2: Convert to fraction form
    362,803.20/544,204.80 = 165,811.20/x
  3. Step 3: Cross multiply
    362,803.20x = 544,204.80 × 165,811.20
  4. Step 4: Simplify right side
    362,803.20x = 90,235,250,933.76
  5. Step 5: Solve for x
    x = 90,235,250,933.76/362,803.20
  6. Step 6: Final answer
    x = 248,716.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.