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Finding the Fourth Proportional to 340,323.46, 510,485.34 and 140,424.22

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Solution

The fourth proportional to 340,323.46, 510,485.34 and 140,424.22 is: 210,636.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,323.46 : 510,485.34 = 140,424.22 : x
  2. Step 2: Convert to fraction form
    340,323.46/510,485.34 = 140,424.22/x
  3. Step 3: Cross multiply
    340,323.46x = 510,485.34 × 140,424.22
  4. Step 4: Simplify right side
    340,323.46x = 71,684,505,690.93
  5. Step 5: Solve for x
    x = 71,684,505,690.93/340,323.46
  6. Step 6: Final answer
    x = 210,636.39

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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.