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Finding the Fourth Proportional to 423,414.20, 584,318.22 and 232,445

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Solution

The fourth proportional to 423,414.20, 584,318.22 and 232,445 is: 320,777.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,414.20 : 584,318.22 = 232,445 : x
  2. Step 2: Convert to fraction form
    423,414.20/584,318.22 = 232,445/x
  3. Step 3: Cross multiply
    423,414.20x = 584,318.22 × 232,445
  4. Step 4: Simplify right side
    423,414.20x = 135,821,848,647.90
  5. Step 5: Solve for x
    x = 135,821,848,647.90/423,414.20
  6. Step 6: Final answer
    x = 320,777.74

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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.