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Finding the Fourth Proportional to 357,848.70, 493,825.65 and 196,700.31

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Solution

The fourth proportional to 357,848.70, 493,825.65 and 196,700.31 is: 271,443.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,848.70 : 493,825.65 = 196,700.31 : x
  2. Step 2: Convert to fraction form
    357,848.70/493,825.65 = 196,700.31/x
  3. Step 3: Cross multiply
    357,848.70x = 493,825.65 × 196,700.31
  4. Step 4: Simplify right side
    357,848.70x = 97,135,658,440.95
  5. Step 5: Solve for x
    x = 97,135,658,440.95/357,848.70
  6. Step 6: Final answer
    x = 271,443.37

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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.