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Finding the Fourth Proportional to 328,148.94, 492,233.94 and 103,511.46

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Solution

The fourth proportional to 328,148.94, 492,233.94 and 103,511.46 is: 155,270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,148.94 : 492,233.94 = 103,511.46 : x
  2. Step 2: Convert to fraction form
    328,148.94/492,233.94 = 103,511.46/x
  3. Step 3: Cross multiply
    328,148.94x = 492,233.94 × 103,511.46
  4. Step 4: Simplify right side
    328,148.94x = 50,951,853,790.95
  5. Step 5: Solve for x
    x = 50,951,853,790.95/328,148.94
  6. Step 6: Final answer
    x = 155,270.51

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Why These Related Problems?

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