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Finding the Fourth Proportional to 300,813.95, 415,109.00 and 180,021.69

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Solution

The fourth proportional to 300,813.95, 415,109.00 and 180,021.69 is: 248,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,813.95 : 415,109.00 = 180,021.69 : x
  2. Step 2: Convert to fraction form
    300,813.95/415,109.00 = 180,021.69/x
  3. Step 3: Cross multiply
    300,813.95x = 415,109.00 × 180,021.69
  4. Step 4: Simplify right side
    300,813.95x = 74,728,624,164.26
  5. Step 5: Solve for x
    x = 74,728,624,164.26/300,813.95
  6. Step 6: Final answer
    x = 248,421.40

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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.