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Finding the Fourth Proportional to 340,090.20, 509,855.94 and 233,178.84

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Solution

The fourth proportional to 340,090.20, 509,855.94 and 233,178.84 is: 349,576.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,090.20 : 509,855.94 = 233,178.84 : x
  2. Step 2: Convert to fraction form
    340,090.20/509,855.94 = 233,178.84/x
  3. Step 3: Cross multiply
    340,090.20x = 509,855.94 × 233,178.84
  4. Step 4: Simplify right side
    340,090.20x = 118,887,616,656.31
  5. Step 5: Solve for x
    x = 118,887,616,656.31/340,090.20
  6. Step 6: Final answer
    x = 349,576.72

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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.