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Finding the Fourth Proportional to 301,628, 416,246.64 and 167,492

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Solution

The fourth proportional to 301,628, 416,246.64 and 167,492 is: 231,138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,628 : 416,246.64 = 167,492 : x
  2. Step 2: Convert to fraction form
    301,628/416,246.64 = 167,492/x
  3. Step 3: Cross multiply
    301,628x = 416,246.64 × 167,492
  4. Step 4: Simplify right side
    301,628x = 69,717,982,226.88
  5. Step 5: Solve for x
    x = 69,717,982,226.88/301,628
  6. Step 6: Final answer
    x = 231,138.96

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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.