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Finding the Fourth Proportional to 455,200.80, 683,578.80 and 298,125.60

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Solution

The fourth proportional to 455,200.80, 683,578.80 and 298,125.60 is: 447,697.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,200.80 : 683,578.80 = 298,125.60 : x
  2. Step 2: Convert to fraction form
    455,200.80/683,578.80 = 298,125.60/x
  3. Step 3: Cross multiply
    455,200.80x = 683,578.80 × 298,125.60
  4. Step 4: Simplify right side
    455,200.80x = 203,792,339,897.28
  5. Step 5: Solve for x
    x = 203,792,339,897.28/455,200.80
  6. Step 6: Final answer
    x = 447,697.68

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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.