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Finding the Fourth Proportional to 294,039.45, 441,006.48 and 77,899.68

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Solution

The fourth proportional to 294,039.45, 441,006.48 and 77,899.68 is: 116,835.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,039.45 : 441,006.48 = 77,899.68 : x
  2. Step 2: Convert to fraction form
    294,039.45/441,006.48 = 77,899.68/x
  3. Step 3: Cross multiply
    294,039.45x = 441,006.48 × 77,899.68
  4. Step 4: Simplify right side
    294,039.45x = 34,354,263,669.93
  5. Step 5: Solve for x
    x = 34,354,263,669.93/294,039.45
  6. Step 6: Final answer
    x = 116,835.56

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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.