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Finding the Fourth Proportional to 382,859.12, 574,551.48 and 133,541.12

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Solution

The fourth proportional to 382,859.12, 574,551.48 and 133,541.12 is: 200,403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,859.12 : 574,551.48 = 133,541.12 : x
  2. Step 2: Convert to fraction form
    382,859.12/574,551.48 = 133,541.12/x
  3. Step 3: Cross multiply
    382,859.12x = 574,551.48 × 133,541.12
  4. Step 4: Simplify right side
    382,859.12x = 76,726,248,136.86
  5. Step 5: Solve for x
    x = 76,726,248,136.86/382,859.12
  6. Step 6: Final answer
    x = 200,403.34

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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.