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Finding the Fourth Proportional to 594,370, 820,245 and 326,098

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Solution

The fourth proportional to 594,370, 820,245 and 326,098 is: 450,023.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,370 : 820,245 = 326,098 : x
  2. Step 2: Convert to fraction form
    594,370/820,245 = 326,098/x
  3. Step 3: Cross multiply
    594,370x = 820,245 × 326,098
  4. Step 4: Simplify right side
    594,370x = 267,480,254,010
  5. Step 5: Solve for x
    x = 267,480,254,010/594,370
  6. Step 6: Final answer
    x = 450,023.14

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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.