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Finding the Fourth Proportional to 421,905.65, 582,229.80 and 230,919.03

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Solution

The fourth proportional to 421,905.65, 582,229.80 and 230,919.03 is: 318,668.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,905.65 : 582,229.80 = 230,919.03 : x
  2. Step 2: Convert to fraction form
    421,905.65/582,229.80 = 230,919.03/x
  3. Step 3: Cross multiply
    421,905.65x = 582,229.80 × 230,919.03
  4. Step 4: Simplify right side
    421,905.65x = 134,447,941,970.51
  5. Step 5: Solve for x
    x = 134,447,941,970.51/421,905.65
  6. Step 6: Final answer
    x = 318,668.27

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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.