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Finding the Fourth Proportional to 609,740.20, 914,610.30 and 410,674.60

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Solution

The fourth proportional to 609,740.20, 914,610.30 and 410,674.60 is: 616,011.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,740.20 : 914,610.30 = 410,674.60 : x
  2. Step 2: Convert to fraction form
    609,740.20/914,610.30 = 410,674.60/x
  3. Step 3: Cross multiply
    609,740.20x = 914,610.30 × 410,674.60
  4. Step 4: Simplify right side
    609,740.20x = 375,607,219,108.38
  5. Step 5: Solve for x
    x = 375,607,219,108.38/609,740.20
  6. Step 6: Final answer
    x = 616,011.90

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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.