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Finding the Fourth Proportional to 461,446.10, 644,449.90 and 461,446.10

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Solution

The fourth proportional to 461,446.10, 644,449.90 and 461,446.10 is: 644,449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,446.10 : 644,449.90 = 461,446.10 : x
  2. Step 2: Convert to fraction form
    461,446.10/644,449.90 = 461,446.10/x
  3. Step 3: Cross multiply
    461,446.10x = 644,449.90 × 461,446.10
  4. Step 4: Simplify right side
    461,446.10x = 297,378,893,000.39
  5. Step 5: Solve for x
    x = 297,378,893,000.39/461,446.10
  6. Step 6: Final answer
    x = 644,449.90

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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.