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Finding the Fourth Proportional to 462,253.68, 693,242.64 and 196,009.92

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Solution

The fourth proportional to 462,253.68, 693,242.64 and 196,009.92 is: 293,956.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,253.68 : 693,242.64 = 196,009.92 : x
  2. Step 2: Convert to fraction form
    462,253.68/693,242.64 = 196,009.92/x
  3. Step 3: Cross multiply
    462,253.68x = 693,242.64 × 196,009.92
  4. Step 4: Simplify right side
    462,253.68x = 135,882,434,406.99
  5. Step 5: Solve for x
    x = 135,882,434,406.99/462,253.68
  6. Step 6: Final answer
    x = 293,956.41

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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.