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Finding the Fourth Proportional to 382,756.56, 574,217.87 and 116,510.15

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Solution

The fourth proportional to 382,756.56, 574,217.87 and 116,510.15 is: 174,790.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,756.56 : 574,217.87 = 116,510.15 : x
  2. Step 2: Convert to fraction form
    382,756.56/574,217.87 = 116,510.15/x
  3. Step 3: Cross multiply
    382,756.56x = 574,217.87 × 116,510.15
  4. Step 4: Simplify right side
    382,756.56x = 66,902,206,712.74
  5. Step 5: Solve for x
    x = 66,902,206,712.74/382,756.56
  6. Step 6: Final answer
    x = 174,790.49

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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.