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Finding the Fourth Proportional to 364,540.36, 546,485.10 and 196,151.08

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Solution

The fourth proportional to 364,540.36, 546,485.10 and 196,151.08 is: 294,051.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,540.36 : 546,485.10 = 196,151.08 : x
  2. Step 2: Convert to fraction form
    364,540.36/546,485.10 = 196,151.08/x
  3. Step 3: Cross multiply
    364,540.36x = 546,485.10 × 196,151.08
  4. Step 4: Simplify right side
    364,540.36x = 107,193,642,568.91
  5. Step 5: Solve for x
    x = 107,193,642,568.91/364,540.36
  6. Step 6: Final answer
    x = 294,051.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.