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Finding the Fourth Proportional to 277,873.88, 383,466.31 and 150,549.46

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Solution

The fourth proportional to 277,873.88, 383,466.31 and 150,549.46 is: 207,758.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,873.88 : 383,466.31 = 150,549.46 : x
  2. Step 2: Convert to fraction form
    277,873.88/383,466.31 = 150,549.46/x
  3. Step 3: Cross multiply
    277,873.88x = 383,466.31 × 150,549.46
  4. Step 4: Simplify right side
    277,873.88x = 57,730,644,563.65
  5. Step 5: Solve for x
    x = 57,730,644,563.65/277,873.88
  6. Step 6: Final answer
    x = 207,758.45

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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.