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Finding the Fourth Proportional to 383,264.80, 574,461.25 and 233,174.25

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Solution

The fourth proportional to 383,264.80, 574,461.25 and 233,174.25 is: 349,496.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,264.80 : 574,461.25 = 233,174.25 : x
  2. Step 2: Convert to fraction form
    383,264.80/574,461.25 = 233,174.25/x
  3. Step 3: Cross multiply
    383,264.80x = 574,461.25 × 233,174.25
  4. Step 4: Simplify right side
    383,264.80x = 133,949,570,539.88
  5. Step 5: Solve for x
    x = 133,949,570,539.88/383,264.80
  6. Step 6: Final answer
    x = 349,496.15

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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.