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Finding the Fourth Proportional to 494,476.96, 741,529.20 and 178,855.84

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Solution

The fourth proportional to 494,476.96, 741,529.20 and 178,855.84 is: 268,216.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,476.96 : 741,529.20 = 178,855.84 : x
  2. Step 2: Convert to fraction form
    494,476.96/741,529.20 = 178,855.84/x
  3. Step 3: Cross multiply
    494,476.96x = 741,529.20 × 178,855.84
  4. Step 4: Simplify right side
    494,476.96x = 132,626,827,950.53
  5. Step 5: Solve for x
    x = 132,626,827,950.53/494,476.96
  6. Step 6: Final answer
    x = 268,216.40

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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.