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Finding the Fourth Proportional to 421,811.92, 582,100.47 and 230,825.32

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Solution

The fourth proportional to 421,811.92, 582,100.47 and 230,825.32 is: 318,538.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,811.92 : 582,100.47 = 230,825.32 : x
  2. Step 2: Convert to fraction form
    421,811.92/582,100.47 = 230,825.32/x
  3. Step 3: Cross multiply
    421,811.92x = 582,100.47 × 230,825.32
  4. Step 4: Simplify right side
    421,811.92x = 134,363,527,259.90
  5. Step 5: Solve for x
    x = 134,363,527,259.90/421,811.92
  6. Step 6: Final answer
    x = 318,538.95

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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.