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Finding the Fourth Proportional to 303,464.80, 455,197.20 and 78,823.46

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Solution

The fourth proportional to 303,464.80, 455,197.20 and 78,823.46 is: 118,235.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,464.80 : 455,197.20 = 78,823.46 : x
  2. Step 2: Convert to fraction form
    303,464.80/455,197.20 = 78,823.46/x
  3. Step 3: Cross multiply
    303,464.80x = 455,197.20 × 78,823.46
  4. Step 4: Simplify right side
    303,464.80x = 35,880,218,286.31
  5. Step 5: Solve for x
    x = 35,880,218,286.31/303,464.80
  6. Step 6: Final answer
    x = 118,235.19

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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.