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Finding the Fourth Proportional to 574,586.87, 792,570.62 and 413,186.27

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Solution

The fourth proportional to 574,586.87, 792,570.62 and 413,186.27 is: 569,938.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,586.87 : 792,570.62 = 413,186.27 : x
  2. Step 2: Convert to fraction form
    574,586.87/792,570.62 = 413,186.27/x
  3. Step 3: Cross multiply
    574,586.87x = 792,570.62 × 413,186.27
  4. Step 4: Simplify right side
    574,586.87x = 327,479,295,259.50
  5. Step 5: Solve for x
    x = 327,479,295,259.50/574,586.87
  6. Step 6: Final answer
    x = 569,938.71

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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.