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Finding the Fourth Proportional to 525,884.94, 789,182.35 and 205,997.14

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Solution

The fourth proportional to 525,884.94, 789,182.35 and 205,997.14 is: 309,134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,884.94 : 789,182.35 = 205,997.14 : x
  2. Step 2: Convert to fraction form
    525,884.94/789,182.35 = 205,997.14/x
  3. Step 3: Cross multiply
    525,884.94x = 789,182.35 × 205,997.14
  4. Step 4: Simplify right side
    525,884.94x = 162,569,307,038.48
  5. Step 5: Solve for x
    x = 162,569,307,038.48/525,884.94
  6. Step 6: Final answer
    x = 309,134.75

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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.