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Finding the Fourth Proportional to 276,342.90, 414,514.35 and 276,342.90

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Solution

The fourth proportional to 276,342.90, 414,514.35 and 276,342.90 is: 414,514.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,342.90 : 414,514.35 = 276,342.90 : x
  2. Step 2: Convert to fraction form
    276,342.90/414,514.35 = 276,342.90/x
  3. Step 3: Cross multiply
    276,342.90x = 414,514.35 × 276,342.90
  4. Step 4: Simplify right side
    276,342.90x = 114,548,097,570.62
  5. Step 5: Solve for x
    x = 114,548,097,570.62/276,342.90
  6. Step 6: Final answer
    x = 414,514.35

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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.