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Finding the Fourth Proportional to 294,258.77, 441,392.24 and 83,896.70

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Solution

The fourth proportional to 294,258.77, 441,392.24 and 83,896.70 is: 125,846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,258.77 : 441,392.24 = 83,896.70 : x
  2. Step 2: Convert to fraction form
    294,258.77/441,392.24 = 83,896.70/x
  3. Step 3: Cross multiply
    294,258.77x = 441,392.24 × 83,896.70
  4. Step 4: Simplify right side
    294,258.77x = 37,031,353,654.83
  5. Step 5: Solve for x
    x = 37,031,353,654.83/294,258.77
  6. Step 6: Final answer
    x = 125,846.22

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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.