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Finding the Fourth Proportional to 232,893.20, 348,683.70 and 209,273.60

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Solution

The fourth proportional to 232,893.20, 348,683.70 and 209,273.60 is: 313,320.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,893.20 : 348,683.70 = 209,273.60 : x
  2. Step 2: Convert to fraction form
    232,893.20/348,683.70 = 209,273.60/x
  3. Step 3: Cross multiply
    232,893.20x = 348,683.70 × 209,273.60
  4. Step 4: Simplify right side
    232,893.20x = 72,970,293,160.32
  5. Step 5: Solve for x
    x = 72,970,293,160.32/232,893.20
  6. Step 6: Final answer
    x = 313,320.84

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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.