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Finding the Fourth Proportional to 301,719.96, 416,327.26 and 174,370.96

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Solution

The fourth proportional to 301,719.96, 416,327.26 and 174,370.96 is: 240,605.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,719.96 : 416,327.26 = 174,370.96 : x
  2. Step 2: Convert to fraction form
    301,719.96/416,327.26 = 174,370.96/x
  3. Step 3: Cross multiply
    301,719.96x = 416,327.26 × 174,370.96
  4. Step 4: Simplify right side
    301,719.96x = 72,595,384,000.37
  5. Step 5: Solve for x
    x = 72,595,384,000.37/301,719.96
  6. Step 6: Final answer
    x = 240,605.18

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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.