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Finding the Fourth Proportional to 274,209.60, 411,314.40 and 232,219.20

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Solution

The fourth proportional to 274,209.60, 411,314.40 and 232,219.20 is: 348,328.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,209.60 : 411,314.40 = 232,219.20 : x
  2. Step 2: Convert to fraction form
    274,209.60/411,314.40 = 232,219.20/x
  3. Step 3: Cross multiply
    274,209.60x = 411,314.40 × 232,219.20
  4. Step 4: Simplify right side
    274,209.60x = 95,515,100,916.48
  5. Step 5: Solve for x
    x = 95,515,100,916.48/274,209.60
  6. Step 6: Final answer
    x = 348,328.80

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Why These Related Problems?

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