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Finding the Fourth Proportional to 288,974.75, 398,800.64 and 161,642.75

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Solution

The fourth proportional to 288,974.75, 398,800.64 and 161,642.75 is: 223,075.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,974.75 : 398,800.64 = 161,642.75 : x
  2. Step 2: Convert to fraction form
    288,974.75/398,800.64 = 161,642.75/x
  3. Step 3: Cross multiply
    288,974.75x = 398,800.64 × 161,642.75
  4. Step 4: Simplify right side
    288,974.75x = 64,463,230,561.46
  5. Step 5: Solve for x
    x = 64,463,230,561.46/288,974.75
  6. Step 6: Final answer
    x = 223,075.66

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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.