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Finding the Fourth Proportional to 382,615.76, 573,938.16 and 195,408.56

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Solution

The fourth proportional to 382,615.76, 573,938.16 and 195,408.56 is: 293,120.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,615.76 : 573,938.16 = 195,408.56 : x
  2. Step 2: Convert to fraction form
    382,615.76/573,938.16 = 195,408.56/x
  3. Step 3: Cross multiply
    382,615.76x = 573,938.16 × 195,408.56
  4. Step 4: Simplify right side
    382,615.76x = 112,152,429,374.65
  5. Step 5: Solve for x
    x = 112,152,429,374.65/382,615.76
  6. Step 6: Final answer
    x = 293,120.26

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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.