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Finding the Fourth Proportional to 307,853.45, 461,795.73 and 118,247.34

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Solution

The fourth proportional to 307,853.45, 461,795.73 and 118,247.34 is: 177,376.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,853.45 : 461,795.73 = 118,247.34 : x
  2. Step 2: Convert to fraction form
    307,853.45/461,795.73 = 118,247.34/x
  3. Step 3: Cross multiply
    307,853.45x = 461,795.73 × 118,247.34
  4. Step 4: Simplify right side
    307,853.45x = 54,606,116,695.86
  5. Step 5: Solve for x
    x = 54,606,116,695.86/307,853.45
  6. Step 6: Final answer
    x = 177,376.98

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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.