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Finding the Fourth Proportional to 415,723.60, 622,710.60 and 345,739.60

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Solution

The fourth proportional to 415,723.60, 622,710.60 and 345,739.60 is: 517,881.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,723.60 : 622,710.60 = 345,739.60 : x
  2. Step 2: Convert to fraction form
    415,723.60/622,710.60 = 345,739.60/x
  3. Step 3: Cross multiply
    415,723.60x = 622,710.60 × 345,739.60
  4. Step 4: Simplify right side
    415,723.60x = 215,295,713,759.76
  5. Step 5: Solve for x
    x = 215,295,713,759.76/415,723.60
  6. Step 6: Final answer
    x = 517,881.87

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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.