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Finding the Fourth Proportional to 598,094.56, 825,390.30 and 326,177.26

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Solution

The fourth proportional to 598,094.56, 825,390.30 and 326,177.26 is: 450,135.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,094.56 : 825,390.30 = 326,177.26 : x
  2. Step 2: Convert to fraction form
    598,094.56/825,390.30 = 326,177.26/x
  3. Step 3: Cross multiply
    598,094.56x = 825,390.30 × 326,177.26
  4. Step 4: Simplify right side
    598,094.56x = 269,223,546,484.58
  5. Step 5: Solve for x
    x = 269,223,546,484.58/598,094.56
  6. Step 6: Final answer
    x = 450,135.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.