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Finding the Fourth Proportional to 384,186.80, 576,274.80 and 173,824.40

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Solution

The fourth proportional to 384,186.80, 576,274.80 and 173,824.40 is: 260,734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,186.80 : 576,274.80 = 173,824.40 : x
  2. Step 2: Convert to fraction form
    384,186.80/576,274.80 = 173,824.40/x
  3. Step 3: Cross multiply
    384,186.80x = 576,274.80 × 173,824.40
  4. Step 4: Simplify right side
    384,186.80x = 100,170,621,345.12
  5. Step 5: Solve for x
    x = 100,170,621,345.12/384,186.80
  6. Step 6: Final answer
    x = 260,734.16

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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.