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Finding the Fourth Proportional to 277,815.97, 383,384.77 and 150,491.89

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Solution

The fourth proportional to 277,815.97, 383,384.77 and 150,491.89 is: 207,678.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,815.97 : 383,384.77 = 150,491.89 : x
  2. Step 2: Convert to fraction form
    277,815.97/383,384.77 = 150,491.89/x
  3. Step 3: Cross multiply
    277,815.97x = 383,384.77 × 150,491.89
  4. Step 4: Simplify right side
    277,815.97x = 57,696,298,634.52
  5. Step 5: Solve for x
    x = 57,696,298,634.52/277,815.97
  6. Step 6: Final answer
    x = 207,678.12

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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.