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Finding the Fourth Proportional to 382,943.24, 574,148.86 and 169,594.90

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Solution

The fourth proportional to 382,943.24, 574,148.86 and 169,594.90 is: 254,274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,943.24 : 574,148.86 = 169,594.90 : x
  2. Step 2: Convert to fraction form
    382,943.24/574,148.86 = 169,594.90/x
  3. Step 3: Cross multiply
    382,943.24x = 574,148.86 × 169,594.90
  4. Step 4: Simplify right side
    382,943.24x = 97,372,715,626.07
  5. Step 5: Solve for x
    x = 97,372,715,626.07/382,943.24
  6. Step 6: Final answer
    x = 254,274.54

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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.