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Finding the Fourth Proportional to 312,556.42, 431,327.32 and 169,320.07

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Solution

The fourth proportional to 312,556.42, 431,327.32 and 169,320.07 is: 233,661.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,556.42 : 431,327.32 = 169,320.07 : x
  2. Step 2: Convert to fraction form
    312,556.42/431,327.32 = 169,320.07/x
  3. Step 3: Cross multiply
    312,556.42x = 431,327.32 × 169,320.07
  4. Step 4: Simplify right side
    312,556.42x = 73,032,372,015.31
  5. Step 5: Solve for x
    x = 73,032,372,015.31/312,556.42
  6. Step 6: Final answer
    x = 233,661.40

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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.