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Finding the Fourth Proportional to 405,897.67, 560,251.38 and 236,164.60

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Solution

The fourth proportional to 405,897.67, 560,251.38 and 236,164.60 is: 325,972.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,897.67 : 560,251.38 = 236,164.60 : x
  2. Step 2: Convert to fraction form
    405,897.67/560,251.38 = 236,164.60/x
  3. Step 3: Cross multiply
    405,897.67x = 560,251.38 × 236,164.60
  4. Step 4: Simplify right side
    405,897.67x = 132,311,543,057.15
  5. Step 5: Solve for x
    x = 132,311,543,057.15/405,897.67
  6. Step 6: Final answer
    x = 325,972.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.