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Finding the Fourth Proportional to 384,277.35, 576,437.04 and 159,660.50

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Solution

The fourth proportional to 384,277.35, 576,437.04 and 159,660.50 is: 239,499.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,277.35 : 576,437.04 = 159,660.50 : x
  2. Step 2: Convert to fraction form
    384,277.35/576,437.04 = 159,660.50/x
  3. Step 3: Cross multiply
    384,277.35x = 576,437.04 × 159,660.50
  4. Step 4: Simplify right side
    384,277.35x = 92,034,223,142.73
  5. Step 5: Solve for x
    x = 92,034,223,142.73/384,277.35
  6. Step 6: Final answer
    x = 239,499.47

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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.