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Finding the Fourth Proportional to 353,311.24, 487,408.68 and 209,989.84

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Solution

The fourth proportional to 353,311.24, 487,408.68 and 209,989.84 is: 289,690.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,311.24 : 487,408.68 = 209,989.84 : x
  2. Step 2: Convert to fraction form
    353,311.24/487,408.68 = 209,989.84/x
  3. Step 3: Cross multiply
    353,311.24x = 487,408.68 × 209,989.84
  4. Step 4: Simplify right side
    353,311.24x = 102,350,870,727.81
  5. Step 5: Solve for x
    x = 102,350,870,727.81/353,311.24
  6. Step 6: Final answer
    x = 289,690.39

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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.