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Finding the Fourth Proportional to 567,253.08, 782,825.64 and 312,620.66

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Solution

The fourth proportional to 567,253.08, 782,825.64 and 312,620.66 is: 431,425.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,253.08 : 782,825.64 = 312,620.66 : x
  2. Step 2: Convert to fraction form
    567,253.08/782,825.64 = 312,620.66/x
  3. Step 3: Cross multiply
    567,253.08x = 782,825.64 × 312,620.66
  4. Step 4: Simplify right side
    567,253.08x = 244,727,468,241.72
  5. Step 5: Solve for x
    x = 244,727,468,241.72/567,253.08
  6. Step 6: Final answer
    x = 431,425.54

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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.