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Finding the Fourth Proportional to 357,113.92, 492,824.64 and 195,959.56

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Solution

The fourth proportional to 357,113.92, 492,824.64 and 195,959.56 is: 270,428.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,113.92 : 492,824.64 = 195,959.56 : x
  2. Step 2: Convert to fraction form
    357,113.92/492,824.64 = 195,959.56/x
  3. Step 3: Cross multiply
    357,113.92x = 492,824.64 × 195,959.56
  4. Step 4: Simplify right side
    357,113.92x = 96,573,699,611.56
  5. Step 5: Solve for x
    x = 96,573,699,611.56/357,113.92
  6. Step 6: Final answer
    x = 270,428.27

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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.