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Finding the Fourth Proportional to 415,462.44, 622,944.26 and 190,541.10

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Solution

The fourth proportional to 415,462.44, 622,944.26 and 190,541.10 is: 285,697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,462.44 : 622,944.26 = 190,541.10 : x
  2. Step 2: Convert to fraction form
    415,462.44/622,944.26 = 190,541.10/x
  3. Step 3: Cross multiply
    415,462.44x = 622,944.26 × 190,541.10
  4. Step 4: Simplify right side
    415,462.44x = 118,696,484,539.09
  5. Step 5: Solve for x
    x = 118,696,484,539.09/415,462.44
  6. Step 6: Final answer
    x = 285,697.27

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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.