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Finding the Fourth Proportional to 615,166.10, 923,733.30 and 465,575.30

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Solution

The fourth proportional to 615,166.10, 923,733.30 and 465,575.30 is: 699,107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,166.10 : 923,733.30 = 465,575.30 : x
  2. Step 2: Convert to fraction form
    615,166.10/923,733.30 = 465,575.30/x
  3. Step 3: Cross multiply
    615,166.10x = 923,733.30 × 465,575.30
  4. Step 4: Simplify right side
    615,166.10x = 430,067,408,267.49
  5. Step 5: Solve for x
    x = 430,067,408,267.49/615,166.10
  6. Step 6: Final answer
    x = 699,107.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.