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Finding the Fourth Proportional to 492,668.32, 738,250.80 and 256,087.84

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Solution

The fourth proportional to 492,668.32, 738,250.80 and 256,087.84 is: 383,741.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,668.32 : 738,250.80 = 256,087.84 : x
  2. Step 2: Convert to fraction form
    492,668.32/738,250.80 = 256,087.84/x
  3. Step 3: Cross multiply
    492,668.32x = 738,250.80 × 256,087.84
  4. Step 4: Simplify right side
    492,668.32x = 189,057,052,750.27
  5. Step 5: Solve for x
    x = 189,057,052,750.27/492,668.32
  6. Step 6: Final answer
    x = 383,741.04

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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.