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Finding the Fourth Proportional to 595,813, 822,923.94 and 394,259.08

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Solution

The fourth proportional to 595,813, 822,923.94 and 394,259.08 is: 544,542.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,813 : 822,923.94 = 394,259.08 : x
  2. Step 2: Convert to fraction form
    595,813/822,923.94 = 394,259.08/x
  3. Step 3: Cross multiply
    595,813x = 822,923.94 × 394,259.08
  4. Step 4: Simplify right side
    595,813x = 324,445,235,494.38
  5. Step 5: Solve for x
    x = 324,445,235,494.38/595,813
  6. Step 6: Final answer
    x = 544,542.06

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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.