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Finding the Fourth Proportional to 297,142.80, 445,109.40 and 184,477.20

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Solution

The fourth proportional to 297,142.80, 445,109.40 and 184,477.20 is: 276,340.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,142.80 : 445,109.40 = 184,477.20 : x
  2. Step 2: Convert to fraction form
    297,142.80/445,109.40 = 184,477.20/x
  3. Step 3: Cross multiply
    297,142.80x = 445,109.40 × 184,477.20
  4. Step 4: Simplify right side
    297,142.80x = 82,112,535,805.68
  5. Step 5: Solve for x
    x = 82,112,535,805.68/297,142.80
  6. Step 6: Final answer
    x = 276,340.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.