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Finding the Fourth Proportional to 475,839.96, 713,534.02 and 276,221.56

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Solution

The fourth proportional to 475,839.96, 713,534.02 and 276,221.56 is: 414,201.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,839.96 : 713,534.02 = 276,221.56 : x
  2. Step 2: Convert to fraction form
    475,839.96/713,534.02 = 276,221.56/x
  3. Step 3: Cross multiply
    475,839.96x = 713,534.02 × 276,221.56
  4. Step 4: Simplify right side
    475,839.96x = 197,093,480,117.47
  5. Step 5: Solve for x
    x = 197,093,480,117.47/475,839.96
  6. Step 6: Final answer
    x = 414,201.20

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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.