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Finding the Fourth Proportional to 301,748.78, 416,420.26 and 165,791.21

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Solution

The fourth proportional to 301,748.78, 416,420.26 and 165,791.21 is: 228,795.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,748.78 : 416,420.26 = 165,791.21 : x
  2. Step 2: Convert to fraction form
    301,748.78/416,420.26 = 165,791.21/x
  3. Step 3: Cross multiply
    301,748.78x = 416,420.26 × 165,791.21
  4. Step 4: Simplify right side
    301,748.78x = 69,038,816,277.34
  5. Step 5: Solve for x
    x = 69,038,816,277.34/301,748.78
  6. Step 6: Final answer
    x = 228,795.68

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1.5x scale

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.