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Finding the Fourth Proportional to 294,804.73, 442,163.90 and 145,004.81

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Solution

The fourth proportional to 294,804.73, 442,163.90 and 145,004.81 is: 217,485.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,804.73 : 442,163.90 = 145,004.81 : x
  2. Step 2: Convert to fraction form
    294,804.73/442,163.90 = 145,004.81/x
  3. Step 3: Cross multiply
    294,804.73x = 442,163.90 × 145,004.81
  4. Step 4: Simplify right side
    294,804.73x = 64,115,891,583.34
  5. Step 5: Solve for x
    x = 64,115,891,583.34/294,804.73
  6. Step 6: Final answer
    x = 217,485.97

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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.