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Finding the Fourth Proportional to 421,884.89, 582,197.72 and 230,897.82

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Solution

The fourth proportional to 421,884.89, 582,197.72 and 230,897.82 is: 318,637.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,884.89 : 582,197.72 = 230,897.82 : x
  2. Step 2: Convert to fraction form
    421,884.89/582,197.72 = 230,897.82/x
  3. Step 3: Cross multiply
    421,884.89x = 582,197.72 × 230,897.82
  4. Step 4: Simplify right side
    421,884.89x = 134,428,183,202.48
  5. Step 5: Solve for x
    x = 134,428,183,202.48/421,884.89
  6. Step 6: Final answer
    x = 318,637.12

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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.