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Finding the Fourth Proportional to 432,849.70, 649,274.55 and 196,653.70

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Solution

The fourth proportional to 432,849.70, 649,274.55 and 196,653.70 is: 294,980.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,849.70 : 649,274.55 = 196,653.70 : x
  2. Step 2: Convert to fraction form
    432,849.70/649,274.55 = 196,653.70/x
  3. Step 3: Cross multiply
    432,849.70x = 649,274.55 × 196,653.70
  4. Step 4: Simplify right side
    432,849.70x = 127,682,242,573.34
  5. Step 5: Solve for x
    x = 127,682,242,573.34/432,849.70
  6. Step 6: Final answer
    x = 294,980.55

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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.