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Finding the Fourth Proportional to 419,700.44, 579,168.60 and 238,411.84

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Solution

The fourth proportional to 419,700.44, 579,168.60 and 238,411.84 is: 328,998.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,700.44 : 579,168.60 = 238,411.84 : x
  2. Step 2: Convert to fraction form
    419,700.44/579,168.60 = 238,411.84/x
  3. Step 3: Cross multiply
    419,700.44x = 579,168.60 × 238,411.84
  4. Step 4: Simplify right side
    419,700.44x = 138,080,651,596.22
  5. Step 5: Solve for x
    x = 138,080,651,596.22/419,700.44
  6. Step 6: Final answer
    x = 328,998.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.