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Finding the Fourth Proportional to 357,031.53, 492,735.42 and 195,917.97

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Solution

The fourth proportional to 357,031.53, 492,735.42 and 195,917.97 is: 270,384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,031.53 : 492,735.42 = 195,917.97 : x
  2. Step 2: Convert to fraction form
    357,031.53/492,735.42 = 195,917.97/x
  3. Step 3: Cross multiply
    357,031.53x = 492,735.42 × 195,917.97
  4. Step 4: Simplify right side
    357,031.53x = 96,535,723,233.50
  5. Step 5: Solve for x
    x = 96,535,723,233.50/357,031.53
  6. Step 6: Final answer
    x = 270,384.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.