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Finding the Fourth Proportional to 301,713.82, 416,318.83 and 174,364.84

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Solution

The fourth proportional to 301,713.82, 416,318.83 and 174,364.84 is: 240,596.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,713.82 : 416,318.83 = 174,364.84 : x
  2. Step 2: Convert to fraction form
    301,713.82/416,318.83 = 174,364.84/x
  3. Step 3: Cross multiply
    301,713.82x = 416,318.83 × 174,364.84
  4. Step 4: Simplify right side
    301,713.82x = 72,591,363,228.52
  5. Step 5: Solve for x
    x = 72,591,363,228.52/301,713.82
  6. Step 6: Final answer
    x = 240,596.75

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1.5x scale

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.