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Finding the Fourth Proportional to 492,511.84, 738,767.92 and 118,534.84

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Solution

The fourth proportional to 492,511.84, 738,767.92 and 118,534.84 is: 177,802.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,511.84 : 738,767.92 = 118,534.84 : x
  2. Step 2: Convert to fraction form
    492,511.84/738,767.92 = 118,534.84/x
  3. Step 3: Cross multiply
    492,511.84x = 738,767.92 × 118,534.84
  4. Step 4: Simplify right side
    492,511.84x = 87,569,737,194.33
  5. Step 5: Solve for x
    x = 87,569,737,194.33/492,511.84
  6. Step 6: Final answer
    x = 177,802.30

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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.