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Finding the Fourth Proportional to 365,193.40, 548,711.70 and 232,137.40

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Solution

The fourth proportional to 365,193.40, 548,711.70 and 232,137.40 is: 348,791.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,193.40 : 548,711.70 = 232,137.40 : x
  2. Step 2: Convert to fraction form
    365,193.40/548,711.70 = 232,137.40/x
  3. Step 3: Cross multiply
    365,193.40x = 548,711.70 × 232,137.40
  4. Step 4: Simplify right side
    365,193.40x = 127,376,507,387.58
  5. Step 5: Solve for x
    x = 127,376,507,387.58/365,193.40
  6. Step 6: Final answer
    x = 348,791.92

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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.