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Finding the Fourth Proportional to 497,830.80, 746,308.80 and 298,230.60

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Solution

The fourth proportional to 497,830.80, 746,308.80 and 298,230.60 is: 447,083.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,830.80 : 746,308.80 = 298,230.60 : x
  2. Step 2: Convert to fraction form
    497,830.80/746,308.80 = 298,230.60/x
  3. Step 3: Cross multiply
    497,830.80x = 746,308.80 × 298,230.60
  4. Step 4: Simplify right side
    497,830.80x = 222,572,121,209.28
  5. Step 5: Solve for x
    x = 222,572,121,209.28/497,830.80
  6. Step 6: Final answer
    x = 447,083.87

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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.