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Finding the Fourth Proportional to 492,509.84, 738,764.92 and 118,532.84

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Solution

The fourth proportional to 492,509.84, 738,764.92 and 118,532.84 is: 177,799.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,509.84 : 738,764.92 = 118,532.84 : x
  2. Step 2: Convert to fraction form
    492,509.84/738,764.92 = 118,532.84/x
  3. Step 3: Cross multiply
    492,509.84x = 738,764.92 × 118,532.84
  4. Step 4: Simplify right side
    492,509.84x = 87,567,904,059.97
  5. Step 5: Solve for x
    x = 87,567,904,059.97/492,509.84
  6. Step 6: Final answer
    x = 177,799.30

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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.