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Finding the Fourth Proportional to 414,009.20, 580,400.20 and 414,009.20

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Solution

The fourth proportional to 414,009.20, 580,400.20 and 414,009.20 is: 580,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,009.20 : 580,400.20 = 414,009.20 : x
  2. Step 2: Convert to fraction form
    414,009.20/580,400.20 = 414,009.20/x
  3. Step 3: Cross multiply
    414,009.20x = 580,400.20 × 414,009.20
  4. Step 4: Simplify right side
    414,009.20x = 240,291,022,481.84
  5. Step 5: Solve for x
    x = 240,291,022,481.84/414,009.20
  6. Step 6: Final answer
    x = 580,400.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.