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Finding the Fourth Proportional to 384,462.40, 576,002.40 and 329,166.40

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Solution

The fourth proportional to 384,462.40, 576,002.40 and 329,166.40 is: 493,157.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,462.40 : 576,002.40 = 329,166.40 : x
  2. Step 2: Convert to fraction form
    384,462.40/576,002.40 = 329,166.40/x
  3. Step 3: Cross multiply
    384,462.40x = 576,002.40 × 329,166.40
  4. Step 4: Simplify right side
    384,462.40x = 189,600,636,399.36
  5. Step 5: Solve for x
    x = 189,600,636,399.36/384,462.40
  6. Step 6: Final answer
    x = 493,157.81

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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.