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Finding the Fourth Proportional to 500,021, 690,023.70 and 270,573.26

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Solution

The fourth proportional to 500,021, 690,023.70 and 270,573.26 is: 373,388.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,021 : 690,023.70 = 270,573.26 : x
  2. Step 2: Convert to fraction form
    500,021/690,023.70 = 270,573.26/x
  3. Step 3: Cross multiply
    500,021x = 690,023.70 × 270,573.26
  4. Step 4: Simplify right side
    500,021x = 186,701,961,986.26
  5. Step 5: Solve for x
    x = 186,701,961,986.26/500,021
  6. Step 6: Final answer
    x = 373,388.24

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