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Finding the Fourth Proportional to 407,801.80, 611,702.70 and 281,830.60

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Solution

The fourth proportional to 407,801.80, 611,702.70 and 281,830.60 is: 422,745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,801.80 : 611,702.70 = 281,830.60 : x
  2. Step 2: Convert to fraction form
    407,801.80/611,702.70 = 281,830.60/x
  3. Step 3: Cross multiply
    407,801.80x = 611,702.70 × 281,830.60
  4. Step 4: Simplify right side
    407,801.80x = 172,396,538,962.62
  5. Step 5: Solve for x
    x = 172,396,538,962.62/407,801.80
  6. Step 6: Final answer
    x = 422,745.90

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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.