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Finding the Fourth Proportional to 413,911.05, 620,943.57 and 144,027.96

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Solution

The fourth proportional to 413,911.05, 620,943.57 and 144,027.96 is: 216,068.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,911.05 : 620,943.57 = 144,027.96 : x
  2. Step 2: Convert to fraction form
    413,911.05/620,943.57 = 144,027.96/x
  3. Step 3: Cross multiply
    413,911.05x = 620,943.57 × 144,027.96
  4. Step 4: Simplify right side
    413,911.05x = 89,433,233,333.68
  5. Step 5: Solve for x
    x = 89,433,233,333.68/413,911.05
  6. Step 6: Final answer
    x = 216,068.73

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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.