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Finding the Fourth Proportional to 735,952.23, 1,015,642.87 and 413,661.33

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Solution

The fourth proportional to 735,952.23, 1,015,642.87 and 413,661.33 is: 570,868.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,952.23 : 1,015,642.87 = 413,661.33 : x
  2. Step 2: Convert to fraction form
    735,952.23/1,015,642.87 = 413,661.33/x
  3. Step 3: Cross multiply
    735,952.23x = 1,015,642.87 × 413,661.33
  4. Step 4: Simplify right side
    735,952.23x = 420,132,179,375.06
  5. Step 5: Solve for x
    x = 420,132,179,375.06/735,952.23
  6. Step 6: Final answer
    x = 570,868.82

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