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Finding the Fourth Proportional to 737,879.64, 1,018,305.39 and 411,193.01

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Solution

The fourth proportional to 737,879.64, 1,018,305.39 and 411,193.01 is: 567,463.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,879.64 : 1,018,305.39 = 411,193.01 : x
  2. Step 2: Convert to fraction form
    737,879.64/1,018,305.39 = 411,193.01/x
  3. Step 3: Cross multiply
    737,879.64x = 1,018,305.39 × 411,193.01
  4. Step 4: Simplify right side
    737,879.64x = 418,720,053,321.80
  5. Step 5: Solve for x
    x = 418,720,053,321.80/737,879.64
  6. Step 6: Final answer
    x = 567,463.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.