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Finding the Fourth Proportional to 362,184.30, 543,276.45 and 228,339.90

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Solution

The fourth proportional to 362,184.30, 543,276.45 and 228,339.90 is: 342,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,184.30 : 543,276.45 = 228,339.90 : x
  2. Step 2: Convert to fraction form
    362,184.30/543,276.45 = 228,339.90/x
  3. Step 3: Cross multiply
    362,184.30x = 543,276.45 × 228,339.90
  4. Step 4: Simplify right side
    362,184.30x = 124,051,690,265.36
  5. Step 5: Solve for x
    x = 124,051,690,265.36/362,184.30
  6. Step 6: Final answer
    x = 342,509.85

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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.