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Finding the Fourth Proportional to 492,352.98, 738,608.16 and 208,046.22

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Solution

The fourth proportional to 492,352.98, 738,608.16 and 208,046.22 is: 312,102.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,352.98 : 738,608.16 = 208,046.22 : x
  2. Step 2: Convert to fraction form
    492,352.98/738,608.16 = 208,046.22/x
  3. Step 3: Cross multiply
    492,352.98x = 738,608.16 × 208,046.22
  4. Step 4: Simplify right side
    492,352.98x = 153,664,635,749.16
  5. Step 5: Solve for x
    x = 153,664,635,749.16/492,352.98
  6. Step 6: Final answer
    x = 312,102.58

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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.