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Finding the Fourth Proportional to 364,616.21, 546,922.02 and 196,215.86

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Solution

The fourth proportional to 364,616.21, 546,922.02 and 196,215.86 is: 294,322.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,616.21 : 546,922.02 = 196,215.86 : x
  2. Step 2: Convert to fraction form
    364,616.21/546,922.02 = 196,215.86/x
  3. Step 3: Cross multiply
    364,616.21x = 546,922.02 × 196,215.86
  4. Step 4: Simplify right side
    364,616.21x = 107,314,774,507.24
  5. Step 5: Solve for x
    x = 107,314,774,507.24/364,616.21
  6. Step 6: Final answer
    x = 294,322.55

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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.