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Finding the Fourth Proportional to 422,945.96, 583,696.32 and 241,654.02

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Solution

The fourth proportional to 422,945.96, 583,696.32 and 241,654.02 is: 333,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,945.96 : 583,696.32 = 241,654.02 : x
  2. Step 2: Convert to fraction form
    422,945.96/583,696.32 = 241,654.02/x
  3. Step 3: Cross multiply
    422,945.96x = 583,696.32 × 241,654.02
  4. Step 4: Simplify right side
    422,945.96x = 141,052,562,187.21
  5. Step 5: Solve for x
    x = 141,052,562,187.21/422,945.96
  6. Step 6: Final answer
    x = 333,500.20

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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.