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Finding the Fourth Proportional to 393,457.80, 589,895.10 and 168,634.20

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Solution

The fourth proportional to 393,457.80, 589,895.10 and 168,634.20 is: 252,826.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,457.80 : 589,895.10 = 168,634.20 : x
  2. Step 2: Convert to fraction form
    393,457.80/589,895.10 = 168,634.20/x
  3. Step 3: Cross multiply
    393,457.80x = 589,895.10 × 168,634.20
  4. Step 4: Simplify right side
    393,457.80x = 99,476,488,272.42
  5. Step 5: Solve for x
    x = 99,476,488,272.42/393,457.80
  6. Step 6: Final answer
    x = 252,826.32

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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.