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Finding the Fourth Proportional to 296,357.94, 444,087.90 and 196,159.14

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Solution

The fourth proportional to 296,357.94, 444,087.90 and 196,159.14 is: 293,941.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,357.94 : 444,087.90 = 196,159.14 : x
  2. Step 2: Convert to fraction form
    296,357.94/444,087.90 = 196,159.14/x
  3. Step 3: Cross multiply
    296,357.94x = 444,087.90 × 196,159.14
  4. Step 4: Simplify right side
    296,357.94x = 87,111,900,548.41
  5. Step 5: Solve for x
    x = 87,111,900,548.41/296,357.94
  6. Step 6: Final answer
    x = 293,941.51

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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.