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Finding the Fourth Proportional to 414,801.60, 621,741.60 and 227,947.20

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Solution

The fourth proportional to 414,801.60, 621,741.60 and 227,947.20 is: 341,667.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,801.60 : 621,741.60 = 227,947.20 : x
  2. Step 2: Convert to fraction form
    414,801.60/621,741.60 = 227,947.20/x
  3. Step 3: Cross multiply
    414,801.60x = 621,741.60 × 227,947.20
  4. Step 4: Simplify right side
    414,801.60x = 141,724,256,843.52
  5. Step 5: Solve for x
    x = 141,724,256,843.52/414,801.60
  6. Step 6: Final answer
    x = 341,667.58

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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.