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Finding the Fourth Proportional to 274,673.51, 412,641.69 and 193,806.65

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Solution

The fourth proportional to 274,673.51, 412,641.69 and 193,806.65 is: 291,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,673.51 : 412,641.69 = 193,806.65 : x
  2. Step 2: Convert to fraction form
    274,673.51/412,641.69 = 193,806.65/x
  3. Step 3: Cross multiply
    274,673.51x = 412,641.69 × 193,806.65
  4. Step 4: Simplify right side
    274,673.51x = 79,972,702,346.66
  5. Step 5: Solve for x
    x = 79,972,702,346.66/274,673.51
  6. Step 6: Final answer
    x = 291,155.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.