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Finding the Fourth Proportional to 513,749.40, 709,259.21 and 309,851.75

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Solution

The fourth proportional to 513,749.40, 709,259.21 and 309,851.75 is: 427,767.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,749.40 : 709,259.21 = 309,851.75 : x
  2. Step 2: Convert to fraction form
    513,749.40/709,259.21 = 309,851.75/x
  3. Step 3: Cross multiply
    513,749.40x = 709,259.21 × 309,851.75
  4. Step 4: Simplify right side
    513,749.40x = 219,765,202,326.56
  5. Step 5: Solve for x
    x = 219,765,202,326.56/513,749.40
  6. Step 6: Final answer
    x = 427,767.32

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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.