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Finding the Fourth Proportional to 601,684.65, 902,226.48 and 196,824.01

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Solution

The fourth proportional to 601,684.65, 902,226.48 and 196,824.01 is: 295,137.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,684.65 : 902,226.48 = 196,824.01 : x
  2. Step 2: Convert to fraction form
    601,684.65/902,226.48 = 196,824.01/x
  3. Step 3: Cross multiply
    601,684.65x = 902,226.48 × 196,824.01
  4. Step 4: Simplify right side
    601,684.65x = 177,579,833,721.79
  5. Step 5: Solve for x
    x = 177,579,833,721.79/601,684.65
  6. Step 6: Final answer
    x = 295,137.72

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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.