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Finding the Fourth Proportional to 384,740.69, 577,120.95 and 182,289.29

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Solution

The fourth proportional to 384,740.69, 577,120.95 and 182,289.29 is: 273,438.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,740.69 : 577,120.95 = 182,289.29 : x
  2. Step 2: Convert to fraction form
    384,740.69/577,120.95 = 182,289.29/x
  3. Step 3: Cross multiply
    384,740.69x = 577,120.95 × 182,289.29
  4. Step 4: Simplify right side
    384,740.69x = 105,202,965,334.02
  5. Step 5: Solve for x
    x = 105,202,965,334.02/384,740.69
  6. Step 6: Final answer
    x = 273,438.63

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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.