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Finding the Fourth Proportional to 357,819.14, 493,803.41 and 196,686.45

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Solution

The fourth proportional to 357,819.14, 493,803.41 and 196,686.45 is: 271,434.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,819.14 : 493,803.41 = 196,686.45 : x
  2. Step 2: Convert to fraction form
    357,819.14/493,803.41 = 196,686.45/x
  3. Step 3: Cross multiply
    357,819.14x = 493,803.41 × 196,686.45
  4. Step 4: Simplify right side
    357,819.14x = 97,124,438,727.36
  5. Step 5: Solve for x
    x = 97,124,438,727.36/357,819.14
  6. Step 6: Final answer
    x = 271,434.44

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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.