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Finding the Fourth Proportional to 277,894.43, 416,830.02 and 117,926.45

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Solution

The fourth proportional to 277,894.43, 416,830.02 and 117,926.45 is: 176,884.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,894.43 : 416,830.02 = 117,926.45 : x
  2. Step 2: Convert to fraction form
    277,894.43/416,830.02 = 117,926.45/x
  3. Step 3: Cross multiply
    277,894.43x = 416,830.02 × 117,926.45
  4. Step 4: Simplify right side
    277,894.43x = 49,155,284,512.03
  5. Step 5: Solve for x
    x = 49,155,284,512.03/277,894.43
  6. Step 6: Final answer
    x = 176,884.74

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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.