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Finding the Fourth Proportional to 273,496.79, 410,032.77 and 177,230.65

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Solution

The fourth proportional to 273,496.79, 410,032.77 and 177,230.65 is: 265,708.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,496.79 : 410,032.77 = 177,230.65 : x
  2. Step 2: Convert to fraction form
    273,496.79/410,032.77 = 177,230.65/x
  3. Step 3: Cross multiply
    273,496.79x = 410,032.77 × 177,230.65
  4. Step 4: Simplify right side
    273,496.79x = 72,670,373,323.32
  5. Step 5: Solve for x
    x = 72,670,373,323.32/273,496.79
  6. Step 6: Final answer
    x = 265,708.32

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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.