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Finding the Fourth Proportional to 541,409.60, 809,810.40 and 485,652.80

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Solution

The fourth proportional to 541,409.60, 809,810.40 and 485,652.80 is: 726,412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,409.60 : 809,810.40 = 485,652.80 : x
  2. Step 2: Convert to fraction form
    541,409.60/809,810.40 = 485,652.80/x
  3. Step 3: Cross multiply
    541,409.60x = 809,810.40 × 485,652.80
  4. Step 4: Simplify right side
    541,409.60x = 393,286,688,229.12
  5. Step 5: Solve for x
    x = 393,286,688,229.12/541,409.60
  6. Step 6: Final answer
    x = 726,412.48

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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.