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Finding the Fourth Proportional to 301,540.30, 416,126.18 and 174,216

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Solution

The fourth proportional to 301,540.30, 416,126.18 and 174,216 is: 240,418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,540.30 : 416,126.18 = 174,216 : x
  2. Step 2: Convert to fraction form
    301,540.30/416,126.18 = 174,216/x
  3. Step 3: Cross multiply
    301,540.30x = 416,126.18 × 174,216
  4. Step 4: Simplify right side
    301,540.30x = 72,495,838,574.88
  5. Step 5: Solve for x
    x = 72,495,838,574.88/301,540.30
  6. Step 6: Final answer
    x = 240,418.41

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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.