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Finding the Fourth Proportional to 431,015.63, 594,221.81 and 301,780.26

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Solution

The fourth proportional to 431,015.63, 594,221.81 and 301,780.26 is: 416,050.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,015.63 : 594,221.81 = 301,780.26 : x
  2. Step 2: Convert to fraction form
    431,015.63/594,221.81 = 301,780.26/x
  3. Step 3: Cross multiply
    431,015.63x = 594,221.81 × 301,780.26
  4. Step 4: Simplify right side
    431,015.63x = 179,324,410,810.57
  5. Step 5: Solve for x
    x = 179,324,410,810.57/431,015.63
  6. Step 6: Final answer
    x = 416,050.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.