Home / 409,983.12-614,550.24-199,359.36

Finding the Fourth Proportional to 409,983.12, 614,550.24 and 199,359.36

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Solution

The fourth proportional to 409,983.12, 614,550.24 and 199,359.36 is: 298,832.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,983.12 : 614,550.24 = 199,359.36 : x
  2. Step 2: Convert to fraction form
    409,983.12/614,550.24 = 199,359.36/x
  3. Step 3: Cross multiply
    409,983.12x = 614,550.24 × 199,359.36
  4. Step 4: Simplify right side
    409,983.12x = 122,516,342,534.25
  5. Step 5: Solve for x
    x = 122,516,342,534.25/409,983.12
  6. Step 6: Final answer
    x = 298,832.65

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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.