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Finding the Fourth Proportional to 397,102.80, 595,596.60 and 116,590.80

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Solution

The fourth proportional to 397,102.80, 595,596.60 and 116,590.80 is: 174,869.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,102.80 : 595,596.60 = 116,590.80 : x
  2. Step 2: Convert to fraction form
    397,102.80/595,596.60 = 116,590.80/x
  3. Step 3: Cross multiply
    397,102.80x = 595,596.60 × 116,590.80
  4. Step 4: Simplify right side
    397,102.80x = 69,441,084,071.28
  5. Step 5: Solve for x
    x = 69,441,084,071.28/397,102.80
  6. Step 6: Final answer
    x = 174,869.29

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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.