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Finding the Fourth Proportional to 277,878.44, 383,467.23 and 157,017.12

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Solution

The fourth proportional to 277,878.44, 383,467.23 and 157,017.12 is: 216,680.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,878.44 : 383,467.23 = 157,017.12 : x
  2. Step 2: Convert to fraction form
    277,878.44/383,467.23 = 157,017.12/x
  3. Step 3: Cross multiply
    277,878.44x = 383,467.23 × 157,017.12
  4. Step 4: Simplify right side
    277,878.44x = 60,210,920,068.98
  5. Step 5: Solve for x
    x = 60,210,920,068.98/277,878.44
  6. Step 6: Final answer
    x = 216,680.79

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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.