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Finding the Fourth Proportional to 301,474.56, 416,014.08 and 167,328

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Solution

The fourth proportional to 301,474.56, 416,014.08 and 167,328 is: 230,901.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,474.56 : 416,014.08 = 167,328 : x
  2. Step 2: Convert to fraction form
    301,474.56/416,014.08 = 167,328/x
  3. Step 3: Cross multiply
    301,474.56x = 416,014.08 × 167,328
  4. Step 4: Simplify right side
    301,474.56x = 69,610,803,978.24
  5. Step 5: Solve for x
    x = 69,610,803,978.24/301,474.56
  6. Step 6: Final answer
    x = 230,901.09

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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.