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Finding the Fourth Proportional to 301,716.69, 416,322.78 and 174,367.71

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Solution

The fourth proportional to 301,716.69, 416,322.78 and 174,367.71 is: 240,600.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,716.69 : 416,322.78 = 174,367.71 : x
  2. Step 2: Convert to fraction form
    301,716.69/416,322.78 = 174,367.71/x
  3. Step 3: Cross multiply
    301,716.69x = 416,322.78 × 174,367.71
  4. Step 4: Simplify right side
    301,716.69x = 72,593,249,769.43
  5. Step 5: Solve for x
    x = 72,593,249,769.43/301,716.69
  6. Step 6: Final answer
    x = 240,600.71

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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.