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Finding the Fourth Proportional to 301,100.37, 414,475.42 and 260,245.73

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Solution

The fourth proportional to 301,100.37, 414,475.42 and 260,245.73 is: 358,237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,100.37 : 414,475.42 = 260,245.73 : x
  2. Step 2: Convert to fraction form
    301,100.37/414,475.42 = 260,245.73/x
  3. Step 3: Cross multiply
    301,100.37x = 414,475.42 × 260,245.73
  4. Step 4: Simplify right side
    301,100.37x = 107,865,458,244.96
  5. Step 5: Solve for x
    x = 107,865,458,244.96/301,100.37
  6. Step 6: Final answer
    x = 358,237.55

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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.