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Finding the Fourth Proportional to 305,242.56, 457,605.45 and 115,598.37

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Solution

The fourth proportional to 305,242.56, 457,605.45 and 115,598.37 is: 173,299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,242.56 : 457,605.45 = 115,598.37 : x
  2. Step 2: Convert to fraction form
    305,242.56/457,605.45 = 115,598.37/x
  3. Step 3: Cross multiply
    305,242.56x = 457,605.45 × 115,598.37
  4. Step 4: Simplify right side
    305,242.56x = 52,898,445,839.14
  5. Step 5: Solve for x
    x = 52,898,445,839.14/305,242.56
  6. Step 6: Final answer
    x = 173,299.71

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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.