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Finding the Fourth Proportional to 415,863.80, 623,795.70 and 404,199.80

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Solution

The fourth proportional to 415,863.80, 623,795.70 and 404,199.80 is: 606,299.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,863.80 : 623,795.70 = 404,199.80 : x
  2. Step 2: Convert to fraction form
    415,863.80/623,795.70 = 404,199.80/x
  3. Step 3: Cross multiply
    415,863.80x = 623,795.70 × 404,199.80
  4. Step 4: Simplify right side
    415,863.80x = 252,138,097,180.86
  5. Step 5: Solve for x
    x = 252,138,097,180.86/415,863.80
  6. Step 6: Final answer
    x = 606,299.70

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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.