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Finding the Fourth Proportional to 301,884.94, 416,606.07 and 172,822.89

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Solution

The fourth proportional to 301,884.94, 416,606.07 and 172,822.89 is: 238,498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,884.94 : 416,606.07 = 172,822.89 : x
  2. Step 2: Convert to fraction form
    301,884.94/416,606.07 = 172,822.89/x
  3. Step 3: Cross multiply
    301,884.94x = 416,606.07 × 172,822.89
  4. Step 4: Simplify right side
    301,884.94x = 71,999,065,804.56
  5. Step 5: Solve for x
    x = 71,999,065,804.56/301,884.94
  6. Step 6: Final answer
    x = 238,498.37

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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.