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Finding the Fourth Proportional to 277,870.71, 383,461.49 and 150,546.30

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Solution

The fourth proportional to 277,870.71, 383,461.49 and 150,546.30 is: 207,753.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,870.71 : 383,461.49 = 150,546.30 : x
  2. Step 2: Convert to fraction form
    277,870.71/383,461.49 = 150,546.30/x
  3. Step 3: Cross multiply
    277,870.71x = 383,461.49 × 150,546.30
  4. Step 4: Simplify right side
    277,870.71x = 57,728,708,511.99
  5. Step 5: Solve for x
    x = 57,728,708,511.99/277,870.71
  6. Step 6: Final answer
    x = 207,753.85

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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.