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Finding the Fourth Proportional to 277,218.38, 382,620.66 and 175,178.90

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Solution

The fourth proportional to 277,218.38, 382,620.66 and 175,178.90 is: 241,784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,218.38 : 382,620.66 = 175,178.90 : x
  2. Step 2: Convert to fraction form
    277,218.38/382,620.66 = 175,178.90/x
  3. Step 3: Cross multiply
    277,218.38x = 382,620.66 × 175,178.90
  4. Step 4: Simplify right side
    277,218.38x = 67,027,066,336.07
  5. Step 5: Solve for x
    x = 67,027,066,336.07/277,218.38
  6. Step 6: Final answer
    x = 241,784.35

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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.