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Finding the Fourth Proportional to 411,176.20, 616,472.70 and 186,644.20

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Solution

The fourth proportional to 411,176.20, 616,472.70 and 186,644.20 is: 279,833.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,176.20 : 616,472.70 = 186,644.20 : x
  2. Step 2: Convert to fraction form
    411,176.20/616,472.70 = 186,644.20/x
  3. Step 3: Cross multiply
    411,176.20x = 616,472.70 × 186,644.20
  4. Step 4: Simplify right side
    411,176.20x = 115,061,053,913.34
  5. Step 5: Solve for x
    x = 115,061,053,913.34/411,176.20
  6. Step 6: Final answer
    x = 279,833.93

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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.