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Finding the Fourth Proportional to 362,579.76, 543,813.40 and 185,217.84

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Solution

The fourth proportional to 362,579.76, 543,813.40 and 185,217.84 is: 277,798.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,579.76 : 543,813.40 = 185,217.84 : x
  2. Step 2: Convert to fraction form
    362,579.76/543,813.40 = 185,217.84/x
  3. Step 3: Cross multiply
    362,579.76x = 543,813.40 × 185,217.84
  4. Step 4: Simplify right side
    362,579.76x = 100,723,943,311.06
  5. Step 5: Solve for x
    x = 100,723,943,311.06/362,579.76
  6. Step 6: Final answer
    x = 277,798.03

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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.