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Finding the Fourth Proportional to 489,381.40, 733,853.40 and 189,762.40

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Solution

The fourth proportional to 489,381.40, 733,853.40 and 189,762.40 is: 284,558.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,381.40 : 733,853.40 = 189,762.40 : x
  2. Step 2: Convert to fraction form
    489,381.40/733,853.40 = 189,762.40/x
  3. Step 3: Cross multiply
    489,381.40x = 733,853.40 × 189,762.40
  4. Step 4: Simplify right side
    489,381.40x = 139,257,782,432.16
  5. Step 5: Solve for x
    x = 139,257,782,432.16/489,381.40
  6. Step 6: Final answer
    x = 284,558.80

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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.