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Finding the Fourth Proportional to 465,692.76, 697,488.84 and 326,074.68

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Solution

The fourth proportional to 465,692.76, 697,488.84 and 326,074.68 is: 488,376.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,692.76 : 697,488.84 = 326,074.68 : x
  2. Step 2: Convert to fraction form
    465,692.76/697,488.84 = 326,074.68/x
  3. Step 3: Cross multiply
    465,692.76x = 697,488.84 × 326,074.68
  4. Step 4: Simplify right side
    465,692.76x = 227,433,450,306.57
  5. Step 5: Solve for x
    x = 227,433,450,306.57/465,692.76
  6. Step 6: Final answer
    x = 488,376.61

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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.