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Finding the Fourth Proportional to 598,312.98, 825,676.74 and 326,383.02

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Solution

The fourth proportional to 598,312.98, 825,676.74 and 326,383.02 is: 450,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,312.98 : 825,676.74 = 326,383.02 : x
  2. Step 2: Convert to fraction form
    598,312.98/825,676.74 = 326,383.02/x
  3. Step 3: Cross multiply
    598,312.98x = 825,676.74 × 326,383.02
  4. Step 4: Simplify right side
    598,312.98x = 269,486,867,944.96
  5. Step 5: Solve for x
    x = 269,486,867,944.96/598,312.98
  6. Step 6: Final answer
    x = 450,411.20

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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.