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Finding the Fourth Proportional to 277,858.52, 383,442.34 and 150,533.80

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Solution

The fourth proportional to 277,858.52, 383,442.34 and 150,533.80 is: 207,735.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,858.52 : 383,442.34 = 150,533.80 : x
  2. Step 2: Convert to fraction form
    277,858.52/383,442.34 = 150,533.80/x
  3. Step 3: Cross multiply
    277,858.52x = 383,442.34 × 150,533.80
  4. Step 4: Simplify right side
    277,858.52x = 57,721,032,521.09
  5. Step 5: Solve for x
    x = 57,721,032,521.09/277,858.52
  6. Step 6: Final answer
    x = 207,735.33

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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.