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Finding the Fourth Proportional to 431,029.80, 594,657.54 and 261,201.96

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Solution

The fourth proportional to 431,029.80, 594,657.54 and 261,201.96 is: 360,359.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,029.80 : 594,657.54 = 261,201.96 : x
  2. Step 2: Convert to fraction form
    431,029.80/594,657.54 = 261,201.96/x
  3. Step 3: Cross multiply
    431,029.80x = 594,657.54 × 261,201.96
  4. Step 4: Simplify right side
    431,029.80x = 155,325,714,976.78
  5. Step 5: Solve for x
    x = 155,325,714,976.78/431,029.80
  6. Step 6: Final answer
    x = 360,359.57

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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.