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Finding the Fourth Proportional to 517,408.07, 713,412.27 and 354,143.22

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Solution

The fourth proportional to 517,408.07, 713,412.27 and 354,143.22 is: 488,299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,408.07 : 713,412.27 = 354,143.22 : x
  2. Step 2: Convert to fraction form
    517,408.07/713,412.27 = 354,143.22/x
  3. Step 3: Cross multiply
    517,408.07x = 713,412.27 × 354,143.22
  4. Step 4: Simplify right side
    517,408.07x = 252,650,118,485.31
  5. Step 5: Solve for x
    x = 252,650,118,485.31/517,408.07
  6. Step 6: Final answer
    x = 488,299.54

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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.