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Finding the Fourth Proportional to 328,180.34, 492,270.44 and 78,862.34

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Solution

The fourth proportional to 328,180.34, 492,270.44 and 78,862.34 is: 118,293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,180.34 : 492,270.44 = 78,862.34 : x
  2. Step 2: Convert to fraction form
    328,180.34/492,270.44 = 78,862.34/x
  3. Step 3: Cross multiply
    328,180.34x = 492,270.44 × 78,862.34
  4. Step 4: Simplify right side
    328,180.34x = 38,821,599,647.59
  5. Step 5: Solve for x
    x = 38,821,599,647.59/328,180.34
  6. Step 6: Final answer
    x = 118,293.49

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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.