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Finding the Fourth Proportional to 357,149.58, 492,872.45 and 196,019.63

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Solution

The fourth proportional to 357,149.58, 492,872.45 and 196,019.63 is: 270,510.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,149.58 : 492,872.45 = 196,019.63 : x
  2. Step 2: Convert to fraction form
    357,149.58/492,872.45 = 196,019.63/x
  3. Step 3: Cross multiply
    357,149.58x = 492,872.45 × 196,019.63
  4. Step 4: Simplify right side
    357,149.58x = 96,612,671,841.73
  5. Step 5: Solve for x
    x = 96,612,671,841.73/357,149.58
  6. Step 6: Final answer
    x = 270,510.39

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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.