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Finding the Fourth Proportional to 421,972.32, 582,322.32 and 230,997.72

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Solution

The fourth proportional to 421,972.32, 582,322.32 and 230,997.72 is: 318,777.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,972.32 : 582,322.32 = 230,997.72 : x
  2. Step 2: Convert to fraction form
    421,972.32/582,322.32 = 230,997.72/x
  3. Step 3: Cross multiply
    421,972.32x = 582,322.32 × 230,997.72
  4. Step 4: Simplify right side
    421,972.32x = 134,515,128,225.11
  5. Step 5: Solve for x
    x = 134,515,128,225.11/421,972.32
  6. Step 6: Final answer
    x = 318,777.14

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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.