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Finding the Fourth Proportional to 489,212.40, 733,818.60 and 414,562.80

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Solution

The fourth proportional to 489,212.40, 733,818.60 and 414,562.80 is: 621,844.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,212.40 : 733,818.60 = 414,562.80 : x
  2. Step 2: Convert to fraction form
    489,212.40/733,818.60 = 414,562.80/x
  3. Step 3: Cross multiply
    489,212.40x = 733,818.60 × 414,562.80
  4. Step 4: Simplify right side
    489,212.40x = 304,213,893,508.08
  5. Step 5: Solve for x
    x = 304,213,893,508.08/489,212.40
  6. Step 6: Final answer
    x = 621,844.20

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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.