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Finding the Fourth Proportional to 301,166.10, 415,622.25 and 180,284.00

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Solution

The fourth proportional to 301,166.10, 415,622.25 and 180,284.00 is: 248,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,166.10 : 415,622.25 = 180,284.00 : x
  2. Step 2: Convert to fraction form
    301,166.10/415,622.25 = 180,284.00/x
  3. Step 3: Cross multiply
    301,166.10x = 415,622.25 × 180,284.00
  4. Step 4: Simplify right side
    301,166.10x = 74,930,039,640.89
  5. Step 5: Solve for x
    x = 74,930,039,640.89/301,166.10
  6. Step 6: Final answer
    x = 248,799.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.