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Finding the Fourth Proportional to 301,666.58, 416,301.60 and 165,696.00

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Solution

The fourth proportional to 301,666.58, 416,301.60 and 165,696.00 is: 228,661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,666.58 : 416,301.60 = 165,696.00 : x
  2. Step 2: Convert to fraction form
    301,666.58/416,301.60 = 165,696.00/x
  3. Step 3: Cross multiply
    301,666.58x = 416,301.60 × 165,696.00
  4. Step 4: Simplify right side
    301,666.58x = 68,979,512,020.35
  5. Step 5: Solve for x
    x = 68,979,512,020.35/301,666.58
  6. Step 6: Final answer
    x = 228,661.43

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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.