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Finding the Fourth Proportional to 571,135.42, 856,745.61 and 171,744.22

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Solution

The fourth proportional to 571,135.42, 856,745.61 and 171,744.22 is: 257,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,135.42 : 856,745.61 = 171,744.22 : x
  2. Step 2: Convert to fraction form
    571,135.42/856,745.61 = 171,744.22/x
  3. Step 3: Cross multiply
    571,135.42x = 856,745.61 × 171,744.22
  4. Step 4: Simplify right side
    571,135.42x = 147,141,106,527.87
  5. Step 5: Solve for x
    x = 147,141,106,527.87/571,135.42
  6. Step 6: Final answer
    x = 257,629.10

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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.