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Finding the Fourth Proportional to 384,742.40, 576,422.40 and 329,446.40

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Solution

The fourth proportional to 384,742.40, 576,422.40 and 329,446.40 is: 493,577.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,742.40 : 576,422.40 = 329,446.40 : x
  2. Step 2: Convert to fraction form
    384,742.40/576,422.40 = 329,446.40/x
  3. Step 3: Cross multiply
    384,742.40x = 576,422.40 × 329,446.40
  4. Step 4: Simplify right side
    384,742.40x = 189,900,284,559.36
  5. Step 5: Solve for x
    x = 189,900,284,559.36/384,742.40
  6. Step 6: Final answer
    x = 493,577.74

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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.