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Finding the Fourth Proportional to 301,636.51, 416,242.14 and 172,577.54

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Solution

The fourth proportional to 301,636.51, 416,242.14 and 172,577.54 is: 238,147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,636.51 : 416,242.14 = 172,577.54 : x
  2. Step 2: Convert to fraction form
    301,636.51/416,242.14 = 172,577.54/x
  3. Step 3: Cross multiply
    301,636.51x = 416,242.14 × 172,577.54
  4. Step 4: Simplify right side
    301,636.51x = 71,834,043,588.36
  5. Step 5: Solve for x
    x = 71,834,043,588.36/301,636.51
  6. Step 6: Final answer
    x = 238,147.71

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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.