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Finding the Fourth Proportional to 735,952.12, 1,015,642.68 and 413,661.22

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Solution

The fourth proportional to 735,952.12, 1,015,642.68 and 413,661.22 is: 570,868.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,952.12 : 1,015,642.68 = 413,661.22 : x
  2. Step 2: Convert to fraction form
    735,952.12/1,015,642.68 = 413,661.22/x
  3. Step 3: Cross multiply
    735,952.12x = 1,015,642.68 × 413,661.22
  4. Step 4: Simplify right side
    735,952.12x = 420,131,990,092.87
  5. Step 5: Solve for x
    x = 420,131,990,092.87/735,952.12
  6. Step 6: Final answer
    x = 570,868.65

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1.5x scale

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.