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Finding the Fourth Proportional to 380,256.14, 570,944.92 and 212,105

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Solution

The fourth proportional to 380,256.14, 570,944.92 and 212,105 is: 318,470.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,256.14 : 570,944.92 = 212,105 : x
  2. Step 2: Convert to fraction form
    380,256.14/570,944.92 = 212,105/x
  3. Step 3: Cross multiply
    380,256.14x = 570,944.92 × 212,105
  4. Step 4: Simplify right side
    380,256.14x = 121,100,272,256.60
  5. Step 5: Solve for x
    x = 121,100,272,256.60/380,256.14
  6. Step 6: Final answer
    x = 318,470.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.