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Finding the Fourth Proportional to 397,693.44, 596,550.24 and 117,220.32

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Solution

The fourth proportional to 397,693.44, 596,550.24 and 117,220.32 is: 175,833.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,693.44 : 596,550.24 = 117,220.32 : x
  2. Step 2: Convert to fraction form
    397,693.44/596,550.24 = 117,220.32/x
  3. Step 3: Cross multiply
    397,693.44x = 596,550.24 × 117,220.32
  4. Step 4: Simplify right side
    397,693.44x = 69,927,810,028.88
  5. Step 5: Solve for x
    x = 69,927,810,028.88/397,693.44
  6. Step 6: Final answer
    x = 175,833.45

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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.