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Finding the Fourth Proportional to 421,768.98, 582,041.19 and 230,782.38

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Solution

The fourth proportional to 421,768.98, 582,041.19 and 230,782.38 is: 318,479.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,768.98 : 582,041.19 = 230,782.38 : x
  2. Step 2: Convert to fraction form
    421,768.98/582,041.19 = 230,782.38/x
  3. Step 3: Cross multiply
    421,768.98x = 582,041.19 × 230,782.38
  4. Step 4: Simplify right side
    421,768.98x = 134,324,851,086.23
  5. Step 5: Solve for x
    x = 134,324,851,086.23/421,768.98
  6. Step 6: Final answer
    x = 318,479.68

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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.