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Finding the Fourth Proportional to 393,106.96, 542,333.64 and 241,941.52

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Solution

The fourth proportional to 393,106.96, 542,333.64 and 241,941.52 is: 333,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,106.96 : 542,333.64 = 241,941.52 : x
  2. Step 2: Convert to fraction form
    393,106.96/542,333.64 = 241,941.52/x
  3. Step 3: Cross multiply
    393,106.96x = 542,333.64 × 241,941.52
  4. Step 4: Simplify right side
    393,106.96x = 131,213,025,208.73
  5. Step 5: Solve for x
    x = 131,213,025,208.73/393,106.96
  6. Step 6: Final answer
    x = 333,784.54

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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.