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Finding the Fourth Proportional to 411,914.60, 617,871.90 and 253,629.80

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Solution

The fourth proportional to 411,914.60, 617,871.90 and 253,629.80 is: 380,444.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,914.60 : 617,871.90 = 253,629.80 : x
  2. Step 2: Convert to fraction form
    411,914.60/617,871.90 = 253,629.80/x
  3. Step 3: Cross multiply
    411,914.60x = 617,871.90 × 253,629.80
  4. Step 4: Simplify right side
    411,914.60x = 156,710,726,422.62
  5. Step 5: Solve for x
    x = 156,710,726,422.62/411,914.60
  6. Step 6: Final answer
    x = 380,444.70

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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.