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Finding the Fourth Proportional to 313,773.24, 433,010.44 and 170,533.32

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Solution

The fourth proportional to 313,773.24, 433,010.44 and 170,533.32 is: 235,337.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,773.24 : 433,010.44 = 170,533.32 : x
  2. Step 2: Convert to fraction form
    313,773.24/433,010.44 = 170,533.32/x
  3. Step 3: Cross multiply
    313,773.24x = 433,010.44 × 170,533.32
  4. Step 4: Simplify right side
    313,773.24x = 73,842,707,927.86
  5. Step 5: Solve for x
    x = 73,842,707,927.86/313,773.24
  6. Step 6: Final answer
    x = 235,337.81

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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.