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Finding the Fourth Proportional to 568,226.24, 784,447 and 415,092.50

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Solution

The fourth proportional to 568,226.24, 784,447 and 415,092.50 is: 573,042.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,226.24 : 784,447 = 415,092.50 : x
  2. Step 2: Convert to fraction form
    568,226.24/784,447 = 415,092.50/x
  3. Step 3: Cross multiply
    568,226.24x = 784,447 × 415,092.50
  4. Step 4: Simplify right side
    568,226.24x = 325,618,066,347.50
  5. Step 5: Solve for x
    x = 325,618,066,347.50/568,226.24
  6. Step 6: Final answer
    x = 573,042.99

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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.