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Finding the Fourth Proportional to 299,125.58, 412,945.64 and 230,989.59

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Solution

The fourth proportional to 299,125.58, 412,945.64 and 230,989.59 is: 318,883.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,125.58 : 412,945.64 = 230,989.59 : x
  2. Step 2: Convert to fraction form
    299,125.58/412,945.64 = 230,989.59/x
  3. Step 3: Cross multiply
    299,125.58x = 412,945.64 × 230,989.59
  4. Step 4: Simplify right side
    299,125.58x = 95,386,145,273.39
  5. Step 5: Solve for x
    x = 95,386,145,273.39/299,125.58
  6. Step 6: Final answer
    x = 318,883.28

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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.