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Finding the Fourth Proportional to 380,260.50, 570,951.47 and 212,109.36

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Solution

The fourth proportional to 380,260.50, 570,951.47 and 212,109.36 is: 318,476.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,260.50 : 570,951.47 = 212,109.36 : x
  2. Step 2: Convert to fraction form
    380,260.50/570,951.47 = 212,109.36/x
  3. Step 3: Cross multiply
    380,260.50x = 570,951.47 × 212,109.36
  4. Step 4: Simplify right side
    380,260.50x = 121,104,150,892.76
  5. Step 5: Solve for x
    x = 121,104,150,892.76/380,260.50
  6. Step 6: Final answer
    x = 318,476.81

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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.