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Finding the Fourth Proportional to 312,533.33, 431,295.54 and 169,293.93

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Solution

The fourth proportional to 312,533.33, 431,295.54 and 169,293.93 is: 233,625.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,533.33 : 431,295.54 = 169,293.93 : x
  2. Step 2: Convert to fraction form
    312,533.33/431,295.54 = 169,293.93/x
  3. Step 3: Cross multiply
    312,533.33x = 431,295.54 × 169,293.93
  4. Step 4: Simplify right side
    312,533.33x = 73,015,716,958.07
  5. Step 5: Solve for x
    x = 73,015,716,958.07/312,533.33
  6. Step 6: Final answer
    x = 233,625.38

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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.