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Finding the Fourth Proportional to 362,303.88, 499,993.74 and 209,337

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Solution

The fourth proportional to 362,303.88, 499,993.74 and 209,337 is: 288,893.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,303.88 : 499,993.74 = 209,337 : x
  2. Step 2: Convert to fraction form
    362,303.88/499,993.74 = 209,337/x
  3. Step 3: Cross multiply
    362,303.88x = 499,993.74 × 209,337
  4. Step 4: Simplify right side
    362,303.88x = 104,667,189,550.38
  5. Step 5: Solve for x
    x = 104,667,189,550.38/362,303.88
  6. Step 6: Final answer
    x = 288,893.37

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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.