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Finding the Fourth Proportional to 421,938.76, 582,276.12 and 230,964.22

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Solution

The fourth proportional to 421,938.76, 582,276.12 and 230,964.22 is: 318,730.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,938.76 : 582,276.12 = 230,964.22 : x
  2. Step 2: Convert to fraction form
    421,938.76/582,276.12 = 230,964.22/x
  3. Step 3: Cross multiply
    421,938.76x = 582,276.12 × 230,964.22
  4. Step 4: Simplify right side
    421,938.76x = 134,484,949,880.43
  5. Step 5: Solve for x
    x = 134,484,949,880.43/421,938.76
  6. Step 6: Final answer
    x = 318,730.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.