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Finding the Fourth Proportional to 565,712.28, 780,682.92 and 339,430.68

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Solution

The fourth proportional to 565,712.28, 780,682.92 and 339,430.68 is: 468,414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,712.28 : 780,682.92 = 339,430.68 : x
  2. Step 2: Convert to fraction form
    565,712.28/780,682.92 = 339,430.68/x
  3. Step 3: Cross multiply
    565,712.28x = 780,682.92 × 339,430.68
  4. Step 4: Simplify right side
    565,712.28x = 264,987,734,399.99
  5. Step 5: Solve for x
    x = 264,987,734,399.99/565,712.28
  6. Step 6: Final answer
    x = 468,414.32

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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.