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Finding the Fourth Proportional to 274,384.45, 411,296.01 and 185,647.33

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Solution

The fourth proportional to 274,384.45, 411,296.01 and 185,647.33 is: 278,281.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,384.45 : 411,296.01 = 185,647.33 : x
  2. Step 2: Convert to fraction form
    274,384.45/411,296.01 = 185,647.33/x
  3. Step 3: Cross multiply
    274,384.45x = 411,296.01 × 185,647.33
  4. Step 4: Simplify right side
    274,384.45x = 76,356,006,096.15
  5. Step 5: Solve for x
    x = 76,356,006,096.15/274,384.45
  6. Step 6: Final answer
    x = 278,281.10

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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.