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Finding the Fourth Proportional to 384,191.80, 576,282.30 and 173,829.40

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Solution

The fourth proportional to 384,191.80, 576,282.30 and 173,829.40 is: 260,741.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,191.80 : 576,282.30 = 173,829.40 : x
  2. Step 2: Convert to fraction form
    384,191.80/576,282.30 = 173,829.40/x
  3. Step 3: Cross multiply
    384,191.80x = 576,282.30 × 173,829.40
  4. Step 4: Simplify right side
    384,191.80x = 100,174,806,439.62
  5. Step 5: Solve for x
    x = 100,174,806,439.62/384,191.80
  6. Step 6: Final answer
    x = 260,741.66

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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.