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Finding the Fourth Proportional to 421,950.64, 582,292.76 and 230,976.24

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Solution

The fourth proportional to 421,950.64, 582,292.76 and 230,976.24 is: 318,747.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,950.64 : 582,292.76 = 230,976.24 : x
  2. Step 2: Convert to fraction form
    421,950.64/582,292.76 = 230,976.24/x
  3. Step 3: Cross multiply
    421,950.64x = 582,292.76 × 230,976.24
  4. Step 4: Simplify right side
    421,950.64x = 134,495,792,284.02
  5. Step 5: Solve for x
    x = 134,495,792,284.02/421,950.64
  6. Step 6: Final answer
    x = 318,747.69

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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.