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Finding the Fourth Proportional to 301,719.59, 416,326.74 and 174,370.59

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Solution

The fourth proportional to 301,719.59, 416,326.74 and 174,370.59 is: 240,604.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,719.59 : 416,326.74 = 174,370.59 : x
  2. Step 2: Convert to fraction form
    301,719.59/416,326.74 = 174,370.59/x
  3. Step 3: Cross multiply
    301,719.59x = 416,326.74 × 174,370.59
  4. Step 4: Simplify right side
    301,719.59x = 72,595,137,204.94
  5. Step 5: Solve for x
    x = 72,595,137,204.94/301,719.59
  6. Step 6: Final answer
    x = 240,604.66

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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.