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Finding the Fourth Proportional to 489,013.60, 732,645.60 and 419,029.60

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Solution

The fourth proportional to 489,013.60, 732,645.60 and 419,029.60 is: 627,794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,013.60 : 732,645.60 = 419,029.60 : x
  2. Step 2: Convert to fraction form
    489,013.60/732,645.60 = 419,029.60/x
  3. Step 3: Cross multiply
    489,013.60x = 732,645.60 × 419,029.60
  4. Step 4: Simplify right side
    489,013.60x = 307,000,192,709.76
  5. Step 5: Solve for x
    x = 307,000,192,709.76/489,013.60
  6. Step 6: Final answer
    x = 627,794.79

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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.