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Finding the Fourth Proportional to 301,298.57, 415,986.80 and 186,698.82

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Solution

The fourth proportional to 301,298.57, 415,986.80 and 186,698.82 is: 257,765.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,298.57 : 415,986.80 = 186,698.82 : x
  2. Step 2: Convert to fraction form
    301,298.57/415,986.80 = 186,698.82/x
  3. Step 3: Cross multiply
    301,298.57x = 415,986.80 × 186,698.82
  4. Step 4: Simplify right side
    301,298.57x = 77,664,245,735.54
  5. Step 5: Solve for x
    x = 77,664,245,735.54/301,298.57
  6. Step 6: Final answer
    x = 257,765.07

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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.