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Finding the Fourth Proportional to 357,409.11, 493,228 and 196,267.53

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Solution

The fourth proportional to 357,409.11, 493,228 and 196,267.53 is: 270,851.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,409.11 : 493,228 = 196,267.53 : x
  2. Step 2: Convert to fraction form
    357,409.11/493,228 = 196,267.53/x
  3. Step 3: Cross multiply
    357,409.11x = 493,228 × 196,267.53
  4. Step 4: Simplify right side
    357,409.11x = 96,804,641,286.84
  5. Step 5: Solve for x
    x = 96,804,641,286.84/357,409.11
  6. Step 6: Final answer
    x = 270,851.07

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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.