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Finding the Fourth Proportional to 301,362, 415,899 and 167,226

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Solution

The fourth proportional to 301,362, 415,899 and 167,226 is: 230,782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,362 : 415,899 = 167,226 : x
  2. Step 2: Convert to fraction form
    301,362/415,899 = 167,226/x
  3. Step 3: Cross multiply
    301,362x = 415,899 × 167,226
  4. Step 4: Simplify right side
    301,362x = 69,549,126,174
  5. Step 5: Solve for x
    x = 69,549,126,174/301,362
  6. Step 6: Final answer
    x = 230,782.67

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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.