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Finding the Fourth Proportional to 408,049.65, 571,860 and 408,049.65

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Solution

The fourth proportional to 408,049.65, 571,860 and 408,049.65 is: 571,860

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,049.65 : 571,860 = 408,049.65 : x
  2. Step 2: Convert to fraction form
    408,049.65/571,860 = 408,049.65/x
  3. Step 3: Cross multiply
    408,049.65x = 571,860 × 408,049.65
  4. Step 4: Simplify right side
    408,049.65x = 233,347,272,849
  5. Step 5: Solve for x
    x = 233,347,272,849/408,049.65
  6. Step 6: Final answer
    x = 571,860

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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.