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Finding the Fourth Proportional to 277,949.64, 383,702.74 and 186,226.86

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Solution

The fourth proportional to 277,949.64, 383,702.74 and 186,226.86 is: 257,081.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,949.64 : 383,702.74 = 186,226.86 : x
  2. Step 2: Convert to fraction form
    277,949.64/383,702.74 = 186,226.86/x
  3. Step 3: Cross multiply
    277,949.64x = 383,702.74 × 186,226.86
  4. Step 4: Simplify right side
    277,949.64x = 71,455,756,443.60
  5. Step 5: Solve for x
    x = 71,455,756,443.60/277,949.64
  6. Step 6: Final answer
    x = 257,081.67

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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.