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Finding the Fourth Proportional to 739,729, 1,020,833.40 and 400,204.54

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Solution

The fourth proportional to 739,729, 1,020,833.40 and 400,204.54 is: 552,286.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,729 : 1,020,833.40 = 400,204.54 : x
  2. Step 2: Convert to fraction form
    739,729/1,020,833.40 = 400,204.54/x
  3. Step 3: Cross multiply
    739,729x = 1,020,833.40 × 400,204.54
  4. Step 4: Simplify right side
    739,729x = 408,542,161,263.64
  5. Step 5: Solve for x
    x = 408,542,161,263.64/739,729
  6. Step 6: Final answer
    x = 552,286.26

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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.