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Finding the Fourth Proportional to 384,734.40, 576,410.40 and 329,438.40

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Solution

The fourth proportional to 384,734.40, 576,410.40 and 329,438.40 is: 493,565.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,734.40 : 576,410.40 = 329,438.40 : x
  2. Step 2: Convert to fraction form
    384,734.40/576,410.40 = 329,438.40/x
  3. Step 3: Cross multiply
    384,734.40x = 576,410.40 × 329,438.40
  4. Step 4: Simplify right side
    384,734.40x = 189,891,719,919.36
  5. Step 5: Solve for x
    x = 189,891,719,919.36/384,734.40
  6. Step 6: Final answer
    x = 493,565.74

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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.