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Finding the Fourth Proportional to 823,271.40, 1,234,907.10 and 403,367.40

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Solution

The fourth proportional to 823,271.40, 1,234,907.10 and 403,367.40 is: 605,051.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,271.40 : 1,234,907.10 = 403,367.40 : x
  2. Step 2: Convert to fraction form
    823,271.40/1,234,907.10 = 403,367.40/x
  3. Step 3: Cross multiply
    823,271.40x = 1,234,907.10 × 403,367.40
  4. Step 4: Simplify right side
    823,271.40x = 498,121,266,168.54
  5. Step 5: Solve for x
    x = 498,121,266,168.54/823,271.40
  6. Step 6: Final answer
    x = 605,051.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.