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Finding the Fourth Proportional to 410,825.30, 576,814.30 and 410,825.30

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Solution

The fourth proportional to 410,825.30, 576,814.30 and 410,825.30 is: 576,814.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,825.30 : 576,814.30 = 410,825.30 : x
  2. Step 2: Convert to fraction form
    410,825.30/576,814.30 = 410,825.30/x
  3. Step 3: Cross multiply
    410,825.30x = 576,814.30 × 410,825.30
  4. Step 4: Simplify right side
    410,825.30x = 236,969,907,841.79
  5. Step 5: Solve for x
    x = 236,969,907,841.79/410,825.30
  6. Step 6: Final answer
    x = 576,814.30

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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.