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Finding the Fourth Proportional to 366,464.80, 549,697.20 and 329,723.20

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Solution

The fourth proportional to 366,464.80, 549,697.20 and 329,723.20 is: 494,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,464.80 : 549,697.20 = 329,723.20 : x
  2. Step 2: Convert to fraction form
    366,464.80/549,697.20 = 329,723.20/x
  3. Step 3: Cross multiply
    366,464.80x = 549,697.20 × 329,723.20
  4. Step 4: Simplify right side
    366,464.80x = 181,247,919,815.04
  5. Step 5: Solve for x
    x = 181,247,919,815.04/366,464.80
  6. Step 6: Final answer
    x = 494,584.80

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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.