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Finding the Fourth Proportional to 294,031.63, 441,047.43 and 83,669.56

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Solution

The fourth proportional to 294,031.63, 441,047.43 and 83,669.56 is: 125,504.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,031.63 : 441,047.43 = 83,669.56 : x
  2. Step 2: Convert to fraction form
    294,031.63/441,047.43 = 83,669.56/x
  3. Step 3: Cross multiply
    294,031.63x = 441,047.43 × 83,669.56
  4. Step 4: Simplify right side
    294,031.63x = 36,902,244,407.23
  5. Step 5: Solve for x
    x = 36,902,244,407.23/294,031.63
  6. Step 6: Final answer
    x = 125,504.34

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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.