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Finding the Fourth Proportional to 501,821, 692,198.04 and 297,727.46

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Solution

The fourth proportional to 501,821, 692,198.04 and 297,727.46 is: 410,677.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,821 : 692,198.04 = 297,727.46 : x
  2. Step 2: Convert to fraction form
    501,821/692,198.04 = 297,727.46/x
  3. Step 3: Cross multiply
    501,821x = 692,198.04 × 297,727.46
  4. Step 4: Simplify right side
    501,821x = 206,086,364,266.18
  5. Step 5: Solve for x
    x = 206,086,364,266.18/501,821
  6. Step 6: Final answer
    x = 410,677.04

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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.