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Finding the Fourth Proportional to 511,523.24, 705,907.22 and 282,089.68

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Solution

The fourth proportional to 511,523.24, 705,907.22 and 282,089.68 is: 389,286.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,523.24 : 705,907.22 = 282,089.68 : x
  2. Step 2: Convert to fraction form
    511,523.24/705,907.22 = 282,089.68/x
  3. Step 3: Cross multiply
    511,523.24x = 705,907.22 × 282,089.68
  4. Step 4: Simplify right side
    511,523.24x = 199,129,142,495.35
  5. Step 5: Solve for x
    x = 199,129,142,495.35/511,523.24
  6. Step 6: Final answer
    x = 389,286.60

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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.