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Finding the Fourth Proportional to 301,823.96, 416,483.51 and 241,372.58

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Solution

The fourth proportional to 301,823.96, 416,483.51 and 241,372.58 is: 333,067.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,823.96 : 416,483.51 = 241,372.58 : x
  2. Step 2: Convert to fraction form
    301,823.96/416,483.51 = 241,372.58/x
  3. Step 3: Cross multiply
    301,823.96x = 416,483.51 × 241,372.58
  4. Step 4: Simplify right side
    301,823.96x = 100,527,696,046.88
  5. Step 5: Solve for x
    x = 100,527,696,046.88/301,823.96
  6. Step 6: Final answer
    x = 333,067.32

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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.