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Finding the Fourth Proportional to 455,834.40, 683,751.60 and 329,863.20

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Solution

The fourth proportional to 455,834.40, 683,751.60 and 329,863.20 is: 494,794.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,834.40 : 683,751.60 = 329,863.20 : x
  2. Step 2: Convert to fraction form
    455,834.40/683,751.60 = 329,863.20/x
  3. Step 3: Cross multiply
    455,834.40x = 683,751.60 × 329,863.20
  4. Step 4: Simplify right side
    455,834.40x = 225,544,490,781.12
  5. Step 5: Solve for x
    x = 225,544,490,781.12/455,834.40
  6. Step 6: Final answer
    x = 494,794.80

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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.