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Finding the Fourth Proportional to 511,081.99, 705,293.34 and 278,507.35

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Solution

The fourth proportional to 511,081.99, 705,293.34 and 278,507.35 is: 384,340.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,081.99 : 705,293.34 = 278,507.35 : x
  2. Step 2: Convert to fraction form
    511,081.99/705,293.34 = 278,507.35/x
  3. Step 3: Cross multiply
    511,081.99x = 705,293.34 × 278,507.35
  4. Step 4: Simplify right side
    511,081.99x = 196,429,379,096.05
  5. Step 5: Solve for x
    x = 196,429,379,096.05/511,081.99
  6. Step 6: Final answer
    x = 384,340.25

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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.