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Finding the Fourth Proportional to 411,044.28, 616,673.94 and 174,396.60

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Solution

The fourth proportional to 411,044.28, 616,673.94 and 174,396.60 is: 261,640.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,044.28 : 616,673.94 = 174,396.60 : x
  2. Step 2: Convert to fraction form
    411,044.28/616,673.94 = 174,396.60/x
  3. Step 3: Cross multiply
    411,044.28x = 616,673.94 × 174,396.60
  4. Step 4: Simplify right side
    411,044.28x = 107,545,838,444.60
  5. Step 5: Solve for x
    x = 107,545,838,444.60/411,044.28
  6. Step 6: Final answer
    x = 261,640.52

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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.