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Finding the Fourth Proportional to 682,712.28, 941,704.38 and 414,440.28

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Solution

The fourth proportional to 682,712.28, 941,704.38 and 414,440.28 is: 571,661.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,712.28 : 941,704.38 = 414,440.28 : x
  2. Step 2: Convert to fraction form
    682,712.28/941,704.38 = 414,440.28/x
  3. Step 3: Cross multiply
    682,712.28x = 941,704.38 × 414,440.28
  4. Step 4: Simplify right side
    682,712.28x = 390,280,226,924.43
  5. Step 5: Solve for x
    x = 390,280,226,924.43/682,712.28
  6. Step 6: Final answer
    x = 571,661.35

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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.