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Finding the Fourth Proportional to 410,410.67, 614,354.69 and 349,876.33

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Solution

The fourth proportional to 410,410.67, 614,354.69 and 349,876.33 is: 523,739.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,410.67 : 614,354.69 = 349,876.33 : x
  2. Step 2: Convert to fraction form
    410,410.67/614,354.69 = 349,876.33/x
  3. Step 3: Cross multiply
    410,410.67x = 614,354.69 × 349,876.33
  4. Step 4: Simplify right side
    410,410.67x = 214,948,163,594.29
  5. Step 5: Solve for x
    x = 214,948,163,594.29/410,410.67
  6. Step 6: Final answer
    x = 523,739.22

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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.