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Finding the Fourth Proportional to 301,552.64, 416,135.04 and 167,408

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Solution

The fourth proportional to 301,552.64, 416,135.04 and 167,408 is: 231,018.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,552.64 : 416,135.04 = 167,408 : x
  2. Step 2: Convert to fraction form
    301,552.64/416,135.04 = 167,408/x
  3. Step 3: Cross multiply
    301,552.64x = 416,135.04 × 167,408
  4. Step 4: Simplify right side
    301,552.64x = 69,664,334,776.32
  5. Step 5: Solve for x
    x = 69,664,334,776.32/301,552.64
  6. Step 6: Final answer
    x = 231,018.82

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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.