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Finding the Fourth Proportional to 410,771.20, 614,947.20 and 306,054.40

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Solution

The fourth proportional to 410,771.20, 614,947.20 and 306,054.40 is: 458,180.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,771.20 : 614,947.20 = 306,054.40 : x
  2. Step 2: Convert to fraction form
    410,771.20/614,947.20 = 306,054.40/x
  3. Step 3: Cross multiply
    410,771.20x = 614,947.20 × 306,054.40
  4. Step 4: Simplify right side
    410,771.20x = 188,207,296,327.68
  5. Step 5: Solve for x
    x = 188,207,296,327.68/410,771.20
  6. Step 6: Final answer
    x = 458,180.36

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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.