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Finding the Fourth Proportional to 411,349.20, 616,732.20 and 186,817.20

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Solution

The fourth proportional to 411,349.20, 616,732.20 and 186,817.20 is: 280,093.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,349.20 : 616,732.20 = 186,817.20 : x
  2. Step 2: Convert to fraction form
    411,349.20/616,732.20 = 186,817.20/x
  3. Step 3: Cross multiply
    411,349.20x = 616,732.20 × 186,817.20
  4. Step 4: Simplify right side
    411,349.20x = 115,216,182,753.84
  5. Step 5: Solve for x
    x = 115,216,182,753.84/411,349.20
  6. Step 6: Final answer
    x = 280,093.37

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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.