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Finding the Fourth Proportional to 504,574.61, 756,114.49 and 415,251.66

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Solution

The fourth proportional to 504,574.61, 756,114.49 and 415,251.66 is: 622,262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,574.61 : 756,114.49 = 415,251.66 : x
  2. Step 2: Convert to fraction form
    504,574.61/756,114.49 = 415,251.66/x
  3. Step 3: Cross multiply
    504,574.61x = 756,114.49 × 415,251.66
  4. Step 4: Simplify right side
    504,574.61x = 313,977,795,046.30
  5. Step 5: Solve for x
    x = 313,977,795,046.30/504,574.61
  6. Step 6: Final answer
    x = 622,262.37

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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.