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Finding the Fourth Proportional to 422,582.22, 583,160.12 and 231,595.16

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Solution

The fourth proportional to 422,582.22, 583,160.12 and 231,595.16 is: 319,599.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,582.22 : 583,160.12 = 231,595.16 : x
  2. Step 2: Convert to fraction form
    422,582.22/583,160.12 = 231,595.16/x
  3. Step 3: Cross multiply
    422,582.22x = 583,160.12 × 231,595.16
  4. Step 4: Simplify right side
    422,582.22x = 135,057,061,297.02
  5. Step 5: Solve for x
    x = 135,057,061,297.02/422,582.22
  6. Step 6: Final answer
    x = 319,599.49

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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.