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Finding the Fourth Proportional to 382,840.64, 574,351.84 and 120,184.64

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Solution

The fourth proportional to 382,840.64, 574,351.84 and 120,184.64 is: 180,305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,840.64 : 574,351.84 = 120,184.64 : x
  2. Step 2: Convert to fraction form
    382,840.64/574,351.84 = 120,184.64/x
  3. Step 3: Cross multiply
    382,840.64x = 574,351.84 × 120,184.64
  4. Step 4: Simplify right side
    382,840.64x = 69,028,269,123.74
  5. Step 5: Solve for x
    x = 69,028,269,123.74/382,840.64
  6. Step 6: Final answer
    x = 180,305.49

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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.