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Finding the Fourth Proportional to 475,832.96, 713,523.52 and 276,214.56

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Solution

The fourth proportional to 475,832.96, 713,523.52 and 276,214.56 is: 414,190.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,832.96 : 713,523.52 = 276,214.56 : x
  2. Step 2: Convert to fraction form
    475,832.96/713,523.52 = 276,214.56/x
  3. Step 3: Cross multiply
    475,832.96x = 713,523.52 × 276,214.56
  4. Step 4: Simplify right side
    475,832.96x = 197,085,585,126.45
  5. Step 5: Solve for x
    x = 197,085,585,126.45/475,832.96
  6. Step 6: Final answer
    x = 414,190.70

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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.