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Finding the Fourth Proportional to 277,713.46, 383,245.80 and 150,389.20

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Solution

The fourth proportional to 277,713.46, 383,245.80 and 150,389.20 is: 207,537.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,713.46 : 383,245.80 = 150,389.20 : x
  2. Step 2: Convert to fraction form
    277,713.46/383,245.80 = 150,389.20/x
  3. Step 3: Cross multiply
    277,713.46x = 383,245.80 × 150,389.20
  4. Step 4: Simplify right side
    277,713.46x = 57,636,029,265.36
  5. Step 5: Solve for x
    x = 57,636,029,265.36/277,713.46
  6. Step 6: Final answer
    x = 207,537.76

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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.