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Finding the Fourth Proportional to 357,148.63, 492,863.56 and 196,006.28

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Solution

The fourth proportional to 357,148.63, 492,863.56 and 196,006.28 is: 270,487.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,148.63 : 492,863.56 = 196,006.28 : x
  2. Step 2: Convert to fraction form
    357,148.63/492,863.56 = 196,006.28/x
  3. Step 3: Cross multiply
    357,148.63x = 492,863.56 × 196,006.28
  4. Step 4: Simplify right side
    357,148.63x = 96,604,353,685.30
  5. Step 5: Solve for x
    x = 96,604,353,685.30/357,148.63
  6. Step 6: Final answer
    x = 270,487.82

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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.