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Finding the Fourth Proportional to 384,362.62, 576,043.85 and 156,392.57

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Solution

The fourth proportional to 384,362.62, 576,043.85 and 156,392.57 is: 234,385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,362.62 : 576,043.85 = 156,392.57 : x
  2. Step 2: Convert to fraction form
    384,362.62/576,043.85 = 156,392.57/x
  3. Step 3: Cross multiply
    384,362.62x = 576,043.85 × 156,392.57
  4. Step 4: Simplify right side
    384,362.62x = 90,088,978,134.19
  5. Step 5: Solve for x
    x = 90,088,978,134.19/384,362.62
  6. Step 6: Final answer
    x = 234,385.38

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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.