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Finding the Fourth Proportional to 496,771.76, 745,164.12 and 216,278.48

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Solution

The fourth proportional to 496,771.76, 745,164.12 and 216,278.48 is: 324,420.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,771.76 : 745,164.12 = 216,278.48 : x
  2. Step 2: Convert to fraction form
    496,771.76/745,164.12 = 216,278.48/x
  3. Step 3: Cross multiply
    496,771.76x = 745,164.12 × 216,278.48
  4. Step 4: Simplify right side
    496,771.76x = 161,162,963,224.14
  5. Step 5: Solve for x
    x = 161,162,963,224.14/496,771.76
  6. Step 6: Final answer
    x = 324,420.54

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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.