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Finding the Fourth Proportional to 422,887.59, 583,020.23 and 335,961.05

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Solution

The fourth proportional to 422,887.59, 583,020.23 and 335,961.05 is: 463,177.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,887.59 : 583,020.23 = 335,961.05 : x
  2. Step 2: Convert to fraction form
    422,887.59/583,020.23 = 335,961.05/x
  3. Step 3: Cross multiply
    422,887.59x = 583,020.23 × 335,961.05
  4. Step 4: Simplify right side
    422,887.59x = 195,872,084,047.14
  5. Step 5: Solve for x
    x = 195,872,084,047.14/422,887.59
  6. Step 6: Final answer
    x = 463,177.66

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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.