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Finding the Fourth Proportional to 431,201.37, 590,748.00 and 415,040.05

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Solution

The fourth proportional to 431,201.37, 590,748.00 and 415,040.05 is: 568,606.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,201.37 : 590,748.00 = 415,040.05 : x
  2. Step 2: Convert to fraction form
    431,201.37/590,748.00 = 415,040.05/x
  3. Step 3: Cross multiply
    431,201.37x = 590,748.00 × 415,040.05
  4. Step 4: Simplify right side
    431,201.37x = 245,184,078,639.44
  5. Step 5: Solve for x
    x = 245,184,078,639.44/431,201.37
  6. Step 6: Final answer
    x = 568,606.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.