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Finding the Fourth Proportional to 550,998.60, 769,823.40 and 550,998.60

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Solution

The fourth proportional to 550,998.60, 769,823.40 and 550,998.60 is: 769,823.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,998.60 : 769,823.40 = 550,998.60 : x
  2. Step 2: Convert to fraction form
    550,998.60/769,823.40 = 550,998.60/x
  3. Step 3: Cross multiply
    550,998.60x = 769,823.40 × 550,998.60
  4. Step 4: Simplify right side
    550,998.60x = 424,171,615,647.24
  5. Step 5: Solve for x
    x = 424,171,615,647.24/550,998.60
  6. Step 6: Final answer
    x = 769,823.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.