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Finding the Fourth Proportional to 523,086.71, 721,883.57 and 290,514.56

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Solution

The fourth proportional to 523,086.71, 721,883.57 and 290,514.56 is: 400,923.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,086.71 : 721,883.57 = 290,514.56 : x
  2. Step 2: Convert to fraction form
    523,086.71/721,883.57 = 290,514.56/x
  3. Step 3: Cross multiply
    523,086.71x = 721,883.57 × 290,514.56
  4. Step 4: Simplify right side
    523,086.71x = 209,717,682,647.79
  5. Step 5: Solve for x
    x = 209,717,682,647.79/523,086.71
  6. Step 6: Final answer
    x = 400,923.37

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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.