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Finding the Fourth Proportional to 301,348, 415,873.28 and 167,212

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Solution

The fourth proportional to 301,348, 415,873.28 and 167,212 is: 230,759.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,348 : 415,873.28 = 167,212 : x
  2. Step 2: Convert to fraction form
    301,348/415,873.28 = 167,212/x
  3. Step 3: Cross multiply
    301,348x = 415,873.28 × 167,212
  4. Step 4: Simplify right side
    301,348x = 69,539,002,895.36
  5. Step 5: Solve for x
    x = 69,539,002,895.36/301,348
  6. Step 6: Final answer
    x = 230,759.80

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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.