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Finding the Fourth Proportional to 355,550.80, 532,462.20 and 188,971.60

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Solution

The fourth proportional to 355,550.80, 532,462.20 and 188,971.60 is: 282,998.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,550.80 : 532,462.20 = 188,971.60 : x
  2. Step 2: Convert to fraction form
    355,550.80/532,462.20 = 188,971.60/x
  3. Step 3: Cross multiply
    355,550.80x = 532,462.20 × 188,971.60
  4. Step 4: Simplify right side
    355,550.80x = 100,620,233,873.52
  5. Step 5: Solve for x
    x = 100,620,233,873.52/355,550.80
  6. Step 6: Final answer
    x = 282,998.19

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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.