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Finding the Fourth Proportional to 413,610.70, 577,874 and 413,610.70

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Solution

The fourth proportional to 413,610.70, 577,874 and 413,610.70 is: 577,874

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,610.70 : 577,874 = 413,610.70 : x
  2. Step 2: Convert to fraction form
    413,610.70/577,874 = 413,610.70/x
  3. Step 3: Cross multiply
    413,610.70x = 577,874 × 413,610.70
  4. Step 4: Simplify right side
    413,610.70x = 239,014,869,651.80
  5. Step 5: Solve for x
    x = 239,014,869,651.80/413,610.70
  6. Step 6: Final answer
    x = 577,874

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.