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Finding the Fourth Proportional to 277,966, 383,634.26 and 176,000.94

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Solution

The fourth proportional to 277,966, 383,634.26 and 176,000.94 is: 242,907.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,966 : 383,634.26 = 176,000.94 : x
  2. Step 2: Convert to fraction form
    277,966/383,634.26 = 176,000.94/x
  3. Step 3: Cross multiply
    277,966x = 383,634.26 × 176,000.94
  4. Step 4: Simplify right side
    277,966x = 67,519,989,496.20
  5. Step 5: Solve for x
    x = 67,519,989,496.20/277,966
  6. Step 6: Final answer
    x = 242,907.37

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1.5x scale

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.