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Finding the Fourth Proportional to 271,809.70, 407,714.55 and 271,809.70

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Solution

The fourth proportional to 271,809.70, 407,714.55 and 271,809.70 is: 407,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,809.70 : 407,714.55 = 271,809.70 : x
  2. Step 2: Convert to fraction form
    271,809.70/407,714.55 = 271,809.70/x
  3. Step 3: Cross multiply
    271,809.70x = 407,714.55 × 271,809.70
  4. Step 4: Simplify right side
    271,809.70x = 110,820,769,521.14
  5. Step 5: Solve for x
    x = 110,820,769,521.14/271,809.70
  6. Step 6: Final answer
    x = 407,714.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.