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Finding the Fourth Proportional to 809,313.70, 1,214,954.70 and 409,748.80

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Solution

The fourth proportional to 809,313.70, 1,214,954.70 and 409,748.80 is: 615,121.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,313.70 : 1,214,954.70 = 409,748.80 : x
  2. Step 2: Convert to fraction form
    809,313.70/1,214,954.70 = 409,748.80/x
  3. Step 3: Cross multiply
    809,313.70x = 1,214,954.70 × 409,748.80
  4. Step 4: Simplify right side
    809,313.70x = 497,826,230,379.36
  5. Step 5: Solve for x
    x = 497,826,230,379.36/809,313.70
  6. Step 6: Final answer
    x = 615,121.47

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1.5x scale

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.