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Finding the Fourth Proportional to 422,678.25, 583,355.66 and 261,585.18

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Solution

The fourth proportional to 422,678.25, 583,355.66 and 261,585.18 is: 361,024.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,678.25 : 583,355.66 = 261,585.18 : x
  2. Step 2: Convert to fraction form
    422,678.25/583,355.66 = 261,585.18/x
  3. Step 3: Cross multiply
    422,678.25x = 583,355.66 × 261,585.18
  4. Step 4: Simplify right side
    422,678.25x = 152,597,194,017.19
  5. Step 5: Solve for x
    x = 152,597,194,017.19/422,678.25
  6. Step 6: Final answer
    x = 361,024.48

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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.