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Finding the Fourth Proportional to 500,894.08, 751,635.96 and 185,570.80

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Solution

The fourth proportional to 500,894.08, 751,635.96 and 185,570.80 is: 278,465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,894.08 : 751,635.96 = 185,570.80 : x
  2. Step 2: Convert to fraction form
    500,894.08/751,635.96 = 185,570.80/x
  3. Step 3: Cross multiply
    500,894.08x = 751,635.96 × 185,570.80
  4. Step 4: Simplify right side
    500,894.08x = 139,481,686,405.97
  5. Step 5: Solve for x
    x = 139,481,686,405.97/500,894.08
  6. Step 6: Final answer
    x = 278,465.43

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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.