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Finding the Fourth Proportional to 482,825.30, 677,355.10 and 482,825.30

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Solution

The fourth proportional to 482,825.30, 677,355.10 and 482,825.30 is: 677,355.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,825.30 : 677,355.10 = 482,825.30 : x
  2. Step 2: Convert to fraction form
    482,825.30/677,355.10 = 482,825.30/x
  3. Step 3: Cross multiply
    482,825.30x = 677,355.10 × 482,825.30
  4. Step 4: Simplify right side
    482,825.30x = 327,044,179,364.03
  5. Step 5: Solve for x
    x = 327,044,179,364.03/482,825.30
  6. Step 6: Final answer
    x = 677,355.10

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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.