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Finding the Fourth Proportional to 301,841.76, 416,541.36 and 165,884.43

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Solution

The fourth proportional to 301,841.76, 416,541.36 and 165,884.43 is: 228,920.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,841.76 : 416,541.36 = 165,884.43 : x
  2. Step 2: Convert to fraction form
    301,841.76/416,541.36 = 165,884.43/x
  3. Step 3: Cross multiply
    301,841.76x = 416,541.36 × 165,884.43
  4. Step 4: Simplify right side
    301,841.76x = 69,097,726,075.02
  5. Step 5: Solve for x
    x = 69,097,726,075.02/301,841.76
  6. Step 6: Final answer
    x = 228,920.37

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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.