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Finding the Fourth Proportional to 357,834.49, 493,804.94 and 196,686.09

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Solution

The fourth proportional to 357,834.49, 493,804.94 and 196,686.09 is: 271,423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,834.49 : 493,804.94 = 196,686.09 : x
  2. Step 2: Convert to fraction form
    357,834.49/493,804.94 = 196,686.09/x
  3. Step 3: Cross multiply
    357,834.49x = 493,804.94 × 196,686.09
  4. Step 4: Simplify right side
    357,834.49x = 97,124,560,402.26
  5. Step 5: Solve for x
    x = 97,124,560,402.26/357,834.49
  6. Step 6: Final answer
    x = 271,423.14

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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.