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Finding the Fourth Proportional to 422,581.23, 583,158.74 and 231,594.16

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Solution

The fourth proportional to 422,581.23, 583,158.74 and 231,594.16 is: 319,598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,581.23 : 583,158.74 = 231,594.16 : x
  2. Step 2: Convert to fraction form
    422,581.23/583,158.74 = 231,594.16/x
  3. Step 3: Cross multiply
    422,581.23x = 583,158.74 × 231,594.16
  4. Step 4: Simplify right side
    422,581.23x = 135,056,158,536.96
  5. Step 5: Solve for x
    x = 135,056,158,536.96/422,581.23
  6. Step 6: Final answer
    x = 319,598.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.