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Finding the Fourth Proportional to 594,365.80, 891,517.38 and 194,954

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Solution

The fourth proportional to 594,365.80, 891,517.38 and 194,954 is: 292,420.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,365.80 : 891,517.38 = 194,954 : x
  2. Step 2: Convert to fraction form
    594,365.80/891,517.38 = 194,954/x
  3. Step 3: Cross multiply
    594,365.80x = 891,517.38 × 194,954
  4. Step 4: Simplify right side
    594,365.80x = 173,804,879,300.52
  5. Step 5: Solve for x
    x = 173,804,879,300.52/594,365.80
  6. Step 6: Final answer
    x = 292,420.73

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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.