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Finding the Fourth Proportional to 516,627.38, 712,654.56 and 309,840.77

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Solution

The fourth proportional to 516,627.38, 712,654.56 and 309,840.77 is: 427,405.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,627.38 : 712,654.56 = 309,840.77 : x
  2. Step 2: Convert to fraction form
    516,627.38/712,654.56 = 309,840.77/x
  3. Step 3: Cross multiply
    516,627.38x = 712,654.56 × 309,840.77
  4. Step 4: Simplify right side
    516,627.38x = 220,809,439,396.05
  5. Step 5: Solve for x
    x = 220,809,439,396.05/516,627.38
  6. Step 6: Final answer
    x = 427,405.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.