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Finding the Fourth Proportional to 361,783.86, 543,001.04 and 193,448.07

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Solution

The fourth proportional to 361,783.86, 543,001.04 and 193,448.07 is: 290,346.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,783.86 : 543,001.04 = 193,448.07 : x
  2. Step 2: Convert to fraction form
    361,783.86/543,001.04 = 193,448.07/x
  3. Step 3: Cross multiply
    361,783.86x = 543,001.04 × 193,448.07
  4. Step 4: Simplify right side
    361,783.86x = 105,042,503,195.99
  5. Step 5: Solve for x
    x = 105,042,503,195.99/361,783.86
  6. Step 6: Final answer
    x = 290,346.02

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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.