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Finding the Fourth Proportional to 410,740.20, 616,110.30 and 345,786.30

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Solution

The fourth proportional to 410,740.20, 616,110.30 and 345,786.30 is: 518,679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,740.20 : 616,110.30 = 345,786.30 : x
  2. Step 2: Convert to fraction form
    410,740.20/616,110.30 = 345,786.30/x
  3. Step 3: Cross multiply
    410,740.20x = 616,110.30 × 345,786.30
  4. Step 4: Simplify right side
    410,740.20x = 213,042,501,028.89
  5. Step 5: Solve for x
    x = 213,042,501,028.89/410,740.20
  6. Step 6: Final answer
    x = 518,679.45

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1.5x scale

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.