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Finding the Fourth Proportional to 264,811.20, 397,216.80 and 180,830.40

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Solution

The fourth proportional to 264,811.20, 397,216.80 and 180,830.40 is: 271,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,811.20 : 397,216.80 = 180,830.40 : x
  2. Step 2: Convert to fraction form
    264,811.20/397,216.80 = 180,830.40/x
  3. Step 3: Cross multiply
    264,811.20x = 397,216.80 × 180,830.40
  4. Step 4: Simplify right side
    264,811.20x = 71,828,872,830.72
  5. Step 5: Solve for x
    x = 71,828,872,830.72/264,811.20
  6. Step 6: Final answer
    x = 271,245.60

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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.