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Finding the Fourth Proportional to 422,874.56, 583,002.34 and 335,948.08

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Solution

The fourth proportional to 422,874.56, 583,002.34 and 335,948.08 is: 463,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,874.56 : 583,002.34 = 335,948.08 : x
  2. Step 2: Convert to fraction form
    422,874.56/583,002.34 = 335,948.08/x
  3. Step 3: Cross multiply
    422,874.56x = 583,002.34 × 335,948.08
  4. Step 4: Simplify right side
    422,874.56x = 195,858,516,758.51
  5. Step 5: Solve for x
    x = 195,858,516,758.51/422,874.56
  6. Step 6: Final answer
    x = 463,159.85

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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.