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Finding the Fourth Proportional to 475,086.40, 713,032.80 and 194,804.80

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Solution

The fourth proportional to 475,086.40, 713,032.80 and 194,804.80 is: 292,372.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,086.40 : 713,032.80 = 194,804.80 : x
  2. Step 2: Convert to fraction form
    475,086.40/713,032.80 = 194,804.80/x
  3. Step 3: Cross multiply
    475,086.40x = 713,032.80 × 194,804.80
  4. Step 4: Simplify right side
    475,086.40x = 138,902,211,997.44
  5. Step 5: Solve for x
    x = 138,902,211,997.44/475,086.40
  6. Step 6: Final answer
    x = 292,372.53

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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.