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Finding the Fourth Proportional to 274,761.32, 414,260.93 and 273,055.46

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Solution

The fourth proportional to 274,761.32, 414,260.93 and 273,055.46 is: 411,688.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,761.32 : 414,260.93 = 273,055.46 : x
  2. Step 2: Convert to fraction form
    274,761.32/414,260.93 = 273,055.46/x
  3. Step 3: Cross multiply
    274,761.32x = 414,260.93 × 273,055.46
  4. Step 4: Simplify right side
    274,761.32x = 113,116,207,412.51
  5. Step 5: Solve for x
    x = 113,116,207,412.51/274,761.32
  6. Step 6: Final answer
    x = 411,688.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.