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Finding the Fourth Proportional to 277,080.84, 414,940.86 and 176,945.40

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Solution

The fourth proportional to 277,080.84, 414,940.86 and 176,945.40 is: 264,983.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,080.84 : 414,940.86 = 176,945.40 : x
  2. Step 2: Convert to fraction form
    277,080.84/414,940.86 = 176,945.40/x
  3. Step 3: Cross multiply
    277,080.84x = 414,940.86 × 176,945.40
  4. Step 4: Simplify right side
    277,080.84x = 73,421,876,449.04
  5. Step 5: Solve for x
    x = 73,421,876,449.04/277,080.84
  6. Step 6: Final answer
    x = 264,983.59

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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.