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Finding the Fourth Proportional to 354,573.90, 531,959.40 and 196,913.07

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Solution

The fourth proportional to 354,573.90, 531,959.40 and 196,913.07 is: 295,424.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,573.90 : 531,959.40 = 196,913.07 : x
  2. Step 2: Convert to fraction form
    354,573.90/531,959.40 = 196,913.07/x
  3. Step 3: Cross multiply
    354,573.90x = 531,959.40 × 196,913.07
  4. Step 4: Simplify right side
    354,573.90x = 104,749,758,569.36
  5. Step 5: Solve for x
    x = 104,749,758,569.36/354,573.90
  6. Step 6: Final answer
    x = 295,424.33

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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.