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Finding the Fourth Proportional to 489,230.40, 733,845.60 and 414,580.80

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Solution

The fourth proportional to 489,230.40, 733,845.60 and 414,580.80 is: 621,871.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,230.40 : 733,845.60 = 414,580.80 : x
  2. Step 2: Convert to fraction form
    489,230.40/733,845.60 = 414,580.80/x
  3. Step 3: Cross multiply
    489,230.40x = 733,845.60 × 414,580.80
  4. Step 4: Simplify right side
    489,230.40x = 304,238,295,924.48
  5. Step 5: Solve for x
    x = 304,238,295,924.48/489,230.40
  6. Step 6: Final answer
    x = 621,871.20

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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.