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Finding the Fourth Proportional to 525,881.56, 789,177.30 and 205,993.76

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Solution

The fourth proportional to 525,881.56, 789,177.30 and 205,993.76 is: 309,129.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,881.56 : 789,177.30 = 205,993.76 : x
  2. Step 2: Convert to fraction form
    525,881.56/789,177.30 = 205,993.76/x
  3. Step 3: Cross multiply
    525,881.56x = 789,177.30 × 205,993.76
  4. Step 4: Simplify right side
    525,881.56x = 162,565,599,333.65
  5. Step 5: Solve for x
    x = 162,565,599,333.65/525,881.56
  6. Step 6: Final answer
    x = 309,129.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.