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Finding the Fourth Proportional to 393,715, 590,666.37 and 127,475.60

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Solution

The fourth proportional to 393,715, 590,666.37 and 127,475.60 is: 191,243.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,715 : 590,666.37 = 127,475.60 : x
  2. Step 2: Convert to fraction form
    393,715/590,666.37 = 127,475.60/x
  3. Step 3: Cross multiply
    393,715x = 590,666.37 × 127,475.60
  4. Step 4: Simplify right side
    393,715x = 75,295,549,915.57
  5. Step 5: Solve for x
    x = 75,295,549,915.57/393,715
  6. Step 6: Final answer
    x = 191,243.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.