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Finding the Fourth Proportional to 383,048.80, 574,832.40 and 172,578.40

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Solution

The fourth proportional to 383,048.80, 574,832.40 and 172,578.40 is: 258,984.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,048.80 : 574,832.40 = 172,578.40 : x
  2. Step 2: Convert to fraction form
    383,048.80/574,832.40 = 172,578.40/x
  3. Step 3: Cross multiply
    383,048.80x = 574,832.40 × 172,578.40
  4. Step 4: Simplify right side
    383,048.80x = 99,203,655,860.16
  5. Step 5: Solve for x
    x = 99,203,655,860.16/383,048.80
  6. Step 6: Final answer
    x = 258,984.38

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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.