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Finding the Fourth Proportional to 397,183.94, 548,109.68 and 295,663.40

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Solution

The fourth proportional to 397,183.94, 548,109.68 and 295,663.40 is: 408,012.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,183.94 : 548,109.68 = 295,663.40 : x
  2. Step 2: Convert to fraction form
    397,183.94/548,109.68 = 295,663.40/x
  3. Step 3: Cross multiply
    397,183.94x = 548,109.68 × 295,663.40
  4. Step 4: Simplify right side
    397,183.94x = 162,055,971,561.71
  5. Step 5: Solve for x
    x = 162,055,971,561.71/397,183.94
  6. Step 6: Final answer
    x = 408,012.40

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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.