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Finding the Fourth Proportional to 601,569.90, 902,410.53 and 196,764.41

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Solution

The fourth proportional to 601,569.90, 902,410.53 and 196,764.41 is: 295,164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,569.90 : 902,410.53 = 196,764.41 : x
  2. Step 2: Convert to fraction form
    601,569.90/902,410.53 = 196,764.41/x
  3. Step 3: Cross multiply
    601,569.90x = 902,410.53 × 196,764.41
  4. Step 4: Simplify right side
    601,569.90x = 177,562,271,001.19
  5. Step 5: Solve for x
    x = 177,562,271,001.19/601,569.90
  6. Step 6: Final answer
    x = 295,164.82

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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.