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Finding the Fourth Proportional to 362,144.45, 499,821.21 and 209,155.16

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Solution

The fourth proportional to 362,144.45, 499,821.21 and 209,155.16 is: 288,669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,144.45 : 499,821.21 = 209,155.16 : x
  2. Step 2: Convert to fraction form
    362,144.45/499,821.21 = 209,155.16/x
  3. Step 3: Cross multiply
    362,144.45x = 499,821.21 × 209,155.16
  4. Step 4: Simplify right side
    362,144.45x = 104,540,185,148.94
  5. Step 5: Solve for x
    x = 104,540,185,148.94/362,144.45
  6. Step 6: Final answer
    x = 288,669.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.