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Finding the Fourth Proportional to 422,292.57, 582,821.73 and 258,920.18

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Solution

The fourth proportional to 422,292.57, 582,821.73 and 258,920.18 is: 357,345.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,292.57 : 582,821.73 = 258,920.18 : x
  2. Step 2: Convert to fraction form
    422,292.57/582,821.73 = 258,920.18/x
  3. Step 3: Cross multiply
    422,292.57x = 582,821.73 × 258,920.18
  4. Step 4: Simplify right side
    422,292.57x = 150,904,306,510.98
  5. Step 5: Solve for x
    x = 150,904,306,510.98/422,292.57
  6. Step 6: Final answer
    x = 357,345.40

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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.