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Finding the Fourth Proportional to 410,768.70, 614,943.45 and 306,051.90

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Solution

The fourth proportional to 410,768.70, 614,943.45 and 306,051.90 is: 458,176.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,768.70 : 614,943.45 = 306,051.90 : x
  2. Step 2: Convert to fraction form
    410,768.70/614,943.45 = 306,051.90/x
  3. Step 3: Cross multiply
    410,768.70x = 614,943.45 × 306,051.90
  4. Step 4: Simplify right side
    410,768.70x = 188,204,611,265.06
  5. Step 5: Solve for x
    x = 188,204,611,265.06/410,768.70
  6. Step 6: Final answer
    x = 458,176.61

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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.