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Finding the Fourth Proportional to 455,863.35, 683,824.20 and 175,380.60

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Solution

The fourth proportional to 455,863.35, 683,824.20 and 175,380.60 is: 263,082.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,863.35 : 683,824.20 = 175,380.60 : x
  2. Step 2: Convert to fraction form
    455,863.35/683,824.20 = 175,380.60/x
  3. Step 3: Cross multiply
    455,863.35x = 683,824.20 × 175,380.60
  4. Step 4: Simplify right side
    455,863.35x = 119,929,498,490.52
  5. Step 5: Solve for x
    x = 119,929,498,490.52/455,863.35
  6. Step 6: Final answer
    x = 263,082.12

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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.