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Finding the Fourth Proportional to 305,391.86, 458,266.38 and 127,884.02

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Solution

The fourth proportional to 305,391.86, 458,266.38 and 127,884.02 is: 191,900.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,391.86 : 458,266.38 = 127,884.02 : x
  2. Step 2: Convert to fraction form
    305,391.86/458,266.38 = 127,884.02/x
  3. Step 3: Cross multiply
    305,391.86x = 458,266.38 × 127,884.02
  4. Step 4: Simplify right side
    305,391.86x = 58,604,946,905.25
  5. Step 5: Solve for x
    x = 58,604,946,905.25/305,391.86
  6. Step 6: Final answer
    x = 191,900.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.