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Finding the Fourth Proportional to 601,824.36, 902,820.84 and 197,048.22

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Solution

The fourth proportional to 601,824.36, 902,820.84 and 197,048.22 is: 295,599.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,824.36 : 902,820.84 = 197,048.22 : x
  2. Step 2: Convert to fraction form
    601,824.36/902,820.84 = 197,048.22/x
  3. Step 3: Cross multiply
    601,824.36x = 902,820.84 × 197,048.22
  4. Step 4: Simplify right side
    601,824.36x = 177,899,239,500.91
  5. Step 5: Solve for x
    x = 177,899,239,500.91/601,824.36
  6. Step 6: Final answer
    x = 295,599.93

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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.