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Finding the Fourth Proportional to 301,719.46, 416,326.57 and 174,370.46

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Solution

The fourth proportional to 301,719.46, 416,326.57 and 174,370.46 is: 240,604.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,719.46 : 416,326.57 = 174,370.46 : x
  2. Step 2: Convert to fraction form
    301,719.46/416,326.57 = 174,370.46/x
  3. Step 3: Cross multiply
    301,719.46x = 416,326.57 × 174,370.46
  4. Step 4: Simplify right side
    301,719.46x = 72,595,055,521.12
  5. Step 5: Solve for x
    x = 72,595,055,521.12/301,719.46
  6. Step 6: Final answer
    x = 240,604.49

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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.