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Finding the Fourth Proportional to 277,609.62, 383,102.50 and 150,285.20

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Solution

The fourth proportional to 277,609.62, 383,102.50 and 150,285.20 is: 207,394.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,609.62 : 383,102.50 = 150,285.20 : x
  2. Step 2: Convert to fraction form
    277,609.62/383,102.50 = 150,285.20/x
  3. Step 3: Cross multiply
    277,609.62x = 383,102.50 × 150,285.20
  4. Step 4: Simplify right side
    277,609.62x = 57,574,635,833.00
  5. Step 5: Solve for x
    x = 57,574,635,833.00/277,609.62
  6. Step 6: Final answer
    x = 207,394.24

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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.