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Finding the Fourth Proportional to 786,760.86, 1,085,728.38 and 442,597.02

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Solution

The fourth proportional to 786,760.86, 1,085,728.38 and 442,597.02 is: 610,782.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,760.86 : 1,085,728.38 = 442,597.02 : x
  2. Step 2: Convert to fraction form
    786,760.86/1,085,728.38 = 442,597.02/x
  3. Step 3: Cross multiply
    786,760.86x = 1,085,728.38 × 442,597.02
  4. Step 4: Simplify right side
    786,760.86x = 480,540,145,517.43
  5. Step 5: Solve for x
    x = 480,540,145,517.43/786,760.86
  6. Step 6: Final answer
    x = 610,782.98

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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.