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Finding the Fourth Proportional to 256,564.67, 354,089.07 and 213,467.94

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Solution

The fourth proportional to 256,564.67, 354,089.07 and 213,467.94 is: 294,610.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,564.67 : 354,089.07 = 213,467.94 : x
  2. Step 2: Convert to fraction form
    256,564.67/354,089.07 = 213,467.94/x
  3. Step 3: Cross multiply
    256,564.67x = 354,089.07 × 213,467.94
  4. Step 4: Simplify right side
    256,564.67x = 75,586,664,349.42
  5. Step 5: Solve for x
    x = 75,586,664,349.42/256,564.67
  6. Step 6: Final answer
    x = 294,610.58

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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.