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Finding the Fourth Proportional to 576,677.85, 865,201.85 and 277,180.14

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Solution

The fourth proportional to 576,677.85, 865,201.85 and 277,180.14 is: 415,859.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,677.85 : 865,201.85 = 277,180.14 : x
  2. Step 2: Convert to fraction form
    576,677.85/865,201.85 = 277,180.14/x
  3. Step 3: Cross multiply
    576,677.85x = 865,201.85 × 277,180.14
  4. Step 4: Simplify right side
    576,677.85x = 239,816,769,911.26
  5. Step 5: Solve for x
    x = 239,816,769,911.26/576,677.85
  6. Step 6: Final answer
    x = 415,859.17

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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.