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Finding the Fourth Proportional to 353,114.73, 487,137.51 and 209,793.33

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Solution

The fourth proportional to 353,114.73, 487,137.51 and 209,793.33 is: 289,419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,114.73 : 487,137.51 = 209,793.33 : x
  2. Step 2: Convert to fraction form
    353,114.73/487,137.51 = 209,793.33/x
  3. Step 3: Cross multiply
    353,114.73x = 487,137.51 × 209,793.33
  4. Step 4: Simplify right side
    353,114.73x = 102,198,200,390.81
  5. Step 5: Solve for x
    x = 102,198,200,390.81/353,114.73
  6. Step 6: Final answer
    x = 289,419.25

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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.