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Finding the Fourth Proportional to 384,277.85, 576,437.80 and 159,661

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Solution

The fourth proportional to 384,277.85, 576,437.80 and 159,661 is: 239,500.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,277.85 : 576,437.80 = 159,661 : x
  2. Step 2: Convert to fraction form
    384,277.85/576,437.80 = 159,661/x
  3. Step 3: Cross multiply
    384,277.85x = 576,437.80 × 159,661
  4. Step 4: Simplify right side
    384,277.85x = 92,034,635,585.80
  5. Step 5: Solve for x
    x = 92,034,635,585.80/384,277.85
  6. Step 6: Final answer
    x = 239,500.24

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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.