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Finding the Fourth Proportional to 357,491.88, 493,342.85 and 196,350.68

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Solution

The fourth proportional to 357,491.88, 493,342.85 and 196,350.68 is: 270,966.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,491.88 : 493,342.85 = 196,350.68 : x
  2. Step 2: Convert to fraction form
    357,491.88/493,342.85 = 196,350.68/x
  3. Step 3: Cross multiply
    357,491.88x = 493,342.85 × 196,350.68
  4. Step 4: Simplify right side
    357,491.88x = 96,868,205,794.87
  5. Step 5: Solve for x
    x = 96,868,205,794.87/357,491.88
  6. Step 6: Final answer
    x = 270,966.17

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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.