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Finding the Fourth Proportional to 314,174.23, 433,571.24 and 170,939.71

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Solution

The fourth proportional to 314,174.23, 433,571.24 and 170,939.71 is: 235,902.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,174.23 : 433,571.24 = 170,939.71 : x
  2. Step 2: Convert to fraction form
    314,174.23/433,571.24 = 170,939.71/x
  3. Step 3: Cross multiply
    314,174.23x = 433,571.24 × 170,939.71
  4. Step 4: Simplify right side
    314,174.23x = 74,114,542,029.94
  5. Step 5: Solve for x
    x = 74,114,542,029.94/314,174.23
  6. Step 6: Final answer
    x = 235,902.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.