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Finding the Fourth Proportional to 305,505.41, 458,198.78 and 153,662.00

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Solution

The fourth proportional to 305,505.41, 458,198.78 and 153,662.00 is: 230,463.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,505.41 : 458,198.78 = 153,662.00 : x
  2. Step 2: Convert to fraction form
    305,505.41/458,198.78 = 153,662.00/x
  3. Step 3: Cross multiply
    305,505.41x = 458,198.78 × 153,662.00
  4. Step 4: Simplify right side
    305,505.41x = 70,407,737,873.06
  5. Step 5: Solve for x
    x = 70,407,737,873.06/305,505.41
  6. Step 6: Final answer
    x = 230,463.15

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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.