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Finding the Fourth Proportional to 379,840.82, 569,498.78 and 166,506.26

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Solution

The fourth proportional to 379,840.82, 569,498.78 and 166,506.26 is: 249,644.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,840.82 : 569,498.78 = 166,506.26 : x
  2. Step 2: Convert to fraction form
    379,840.82/569,498.78 = 166,506.26/x
  3. Step 3: Cross multiply
    379,840.82x = 569,498.78 × 166,506.26
  4. Step 4: Simplify right side
    379,840.82x = 94,825,111,932.36
  5. Step 5: Solve for x
    x = 94,825,111,932.36/379,840.82
  6. Step 6: Final answer
    x = 249,644.34

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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.