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Finding the Fourth Proportional to 422,731.34, 583,369.20 and 231,746.08

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Solution

The fourth proportional to 422,731.34, 583,369.20 and 231,746.08 is: 319,809.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,731.34 : 583,369.20 = 231,746.08 : x
  2. Step 2: Convert to fraction form
    422,731.34/583,369.20 = 231,746.08/x
  3. Step 3: Cross multiply
    422,731.34x = 583,369.20 × 231,746.08
  4. Step 4: Simplify right side
    422,731.34x = 135,193,525,292.74
  5. Step 5: Solve for x
    x = 135,193,525,292.74/422,731.34
  6. Step 6: Final answer
    x = 319,809.56

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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.