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Finding the Fourth Proportional to 277,896.34, 383,497.10 and 150,572.04

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Solution

The fourth proportional to 277,896.34, 383,497.10 and 150,572.04 is: 207,789.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,896.34 : 383,497.10 = 150,572.04 : x
  2. Step 2: Convert to fraction form
    277,896.34/383,497.10 = 150,572.04/x
  3. Step 3: Cross multiply
    277,896.34x = 383,497.10 × 150,572.04
  4. Step 4: Simplify right side
    277,896.34x = 57,743,940,681.08
  5. Step 5: Solve for x
    x = 57,743,940,681.08/277,896.34
  6. Step 6: Final answer
    x = 207,789.50

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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.