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Finding the Fourth Proportional to 492,693.45, 738,976.64 and 155,768.33

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Solution

The fourth proportional to 492,693.45, 738,976.64 and 155,768.33 is: 233,632.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,693.45 : 738,976.64 = 155,768.33 : x
  2. Step 2: Convert to fraction form
    492,693.45/738,976.64 = 155,768.33/x
  3. Step 3: Cross multiply
    492,693.45x = 738,976.64 × 155,768.33
  4. Step 4: Simplify right side
    492,693.45x = 115,109,152,648.09
  5. Step 5: Solve for x
    x = 115,109,152,648.09/492,693.45
  6. Step 6: Final answer
    x = 233,632.40

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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.