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Finding the Fourth Proportional to 301,534.44, 415,984.32 and 186,782.82

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Solution

The fourth proportional to 301,534.44, 415,984.32 and 186,782.82 is: 257,677.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,534.44 : 415,984.32 = 186,782.82 : x
  2. Step 2: Convert to fraction form
    301,534.44/415,984.32 = 186,782.82/x
  3. Step 3: Cross multiply
    301,534.44x = 415,984.32 × 186,782.82
  4. Step 4: Simplify right side
    301,534.44x = 77,698,724,365.38
  5. Step 5: Solve for x
    x = 77,698,724,365.38/301,534.44
  6. Step 6: Final answer
    x = 257,677.78

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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.