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Finding the Fourth Proportional to 638,461.60, 957,692.40 and 414,512.80

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Solution

The fourth proportional to 638,461.60, 957,692.40 and 414,512.80 is: 621,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,461.60 : 957,692.40 = 414,512.80 : x
  2. Step 2: Convert to fraction form
    638,461.60/957,692.40 = 414,512.80/x
  3. Step 3: Cross multiply
    638,461.60x = 957,692.40 × 414,512.80
  4. Step 4: Simplify right side
    638,461.60x = 396,975,758,262.72
  5. Step 5: Solve for x
    x = 396,975,758,262.72/638,461.60
  6. Step 6: Final answer
    x = 621,769.20

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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.