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Finding the Fourth Proportional to 540,343.40, 810,422.84 and 180,464.45

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Solution

The fourth proportional to 540,343.40, 810,422.84 and 180,464.45 is: 270,665.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,343.40 : 810,422.84 = 180,464.45 : x
  2. Step 2: Convert to fraction form
    540,343.40/810,422.84 = 180,464.45/x
  3. Step 3: Cross multiply
    540,343.40x = 810,422.84 × 180,464.45
  4. Step 4: Simplify right side
    540,343.40x = 146,252,507,133.60
  5. Step 5: Solve for x
    x = 146,252,507,133.60/540,343.40
  6. Step 6: Final answer
    x = 270,665.86

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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.