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Finding the Fourth Proportional to 361,929.96, 542,894.94 and 196,041.96

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Solution

The fourth proportional to 361,929.96, 542,894.94 and 196,041.96 is: 294,062.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,929.96 : 542,894.94 = 196,041.96 : x
  2. Step 2: Convert to fraction form
    361,929.96/542,894.94 = 196,041.96/x
  3. Step 3: Cross multiply
    361,929.96x = 542,894.94 × 196,041.96
  4. Step 4: Simplify right side
    361,929.96x = 106,430,188,111.68
  5. Step 5: Solve for x
    x = 106,430,188,111.68/361,929.96
  6. Step 6: Final answer
    x = 294,062.94

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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.