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Finding the Fourth Proportional to 408,049.40, 571,859.66 and 408,049.40

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Solution

The fourth proportional to 408,049.40, 571,859.66 and 408,049.40 is: 571,859.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,049.40 : 571,859.66 = 408,049.40 : x
  2. Step 2: Convert to fraction form
    408,049.40/571,859.66 = 408,049.40/x
  3. Step 3: Cross multiply
    408,049.40x = 571,859.66 × 408,049.40
  4. Step 4: Simplify right side
    408,049.40x = 233,346,991,147.20
  5. Step 5: Solve for x
    x = 233,346,991,147.20/408,049.40
  6. Step 6: Final answer
    x = 571,859.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.