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Finding the Fourth Proportional to 458,857.74, 633,753.54 and 305,643.54

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Solution

The fourth proportional to 458,857.74, 633,753.54 and 305,643.54 is: 422,141.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,857.74 : 633,753.54 = 305,643.54 : x
  2. Step 2: Convert to fraction form
    458,857.74/633,753.54 = 305,643.54/x
  3. Step 3: Cross multiply
    458,857.74x = 633,753.54 × 305,643.54
  4. Step 4: Simplify right side
    458,857.74x = 193,702,675,453.13
  5. Step 5: Solve for x
    x = 193,702,675,453.13/458,857.74
  6. Step 6: Final answer
    x = 422,141.02

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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.