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Finding the Fourth Proportional to 301,945.78, 416,690.35 and 165,985.46

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Solution

The fourth proportional to 301,945.78, 416,690.35 and 165,985.46 is: 229,062.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,945.78 : 416,690.35 = 165,985.46 : x
  2. Step 2: Convert to fraction form
    301,945.78/416,690.35 = 165,985.46/x
  3. Step 3: Cross multiply
    301,945.78x = 416,690.35 × 165,985.46
  4. Step 4: Simplify right side
    301,945.78x = 69,164,537,338.86
  5. Step 5: Solve for x
    x = 69,164,537,338.86/301,945.78
  6. Step 6: Final answer
    x = 229,062.78

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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.