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Finding the Fourth Proportional to 431,029.30, 594,656.85 and 261,201.46

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Solution

The fourth proportional to 431,029.30, 594,656.85 and 261,201.46 is: 360,358.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,029.30 : 594,656.85 = 261,201.46 : x
  2. Step 2: Convert to fraction form
    431,029.30/594,656.85 = 261,201.46/x
  3. Step 3: Cross multiply
    431,029.30x = 594,656.85 × 261,201.46
  4. Step 4: Simplify right side
    431,029.30x = 155,325,237,419.00
  5. Step 5: Solve for x
    x = 155,325,237,419.00/431,029.30
  6. Step 6: Final answer
    x = 360,358.88

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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.