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Finding the Fourth Proportional to 328,197.64, 449,959.13 and 322,219.24

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Solution

The fourth proportional to 328,197.64, 449,959.13 and 322,219.24 is: 441,762.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,197.64 : 449,959.13 = 322,219.24 : x
  2. Step 2: Convert to fraction form
    328,197.64/449,959.13 = 322,219.24/x
  3. Step 3: Cross multiply
    328,197.64x = 449,959.13 × 322,219.24
  4. Step 4: Simplify right side
    328,197.64x = 144,985,488,899.66
  5. Step 5: Solve for x
    x = 144,985,488,899.66/328,197.64
  6. Step 6: Final answer
    x = 441,762.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.