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Finding the Fourth Proportional to 277,000.40, 414,917.40 and 230,344.40

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Solution

The fourth proportional to 277,000.40, 414,917.40 and 230,344.40 is: 345,031.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,000.40 : 414,917.40 = 230,344.40 : x
  2. Step 2: Convert to fraction form
    277,000.40/414,917.40 = 230,344.40/x
  3. Step 3: Cross multiply
    277,000.40x = 414,917.40 × 230,344.40
  4. Step 4: Simplify right side
    277,000.40x = 95,573,899,552.56
  5. Step 5: Solve for x
    x = 95,573,899,552.56/277,000.40
  6. Step 6: Final answer
    x = 345,031.63

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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.