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Finding the Fourth Proportional to 287,103.73, 430,366.09 and 180,563.82

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Solution

The fourth proportional to 287,103.73, 430,366.09 and 180,563.82 is: 270,663.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,103.73 : 430,366.09 = 180,563.82 : x
  2. Step 2: Convert to fraction form
    287,103.73/430,366.09 = 180,563.82/x
  3. Step 3: Cross multiply
    287,103.73x = 430,366.09 × 180,563.82
  4. Step 4: Simplify right side
    287,103.73x = 77,708,545,208.86
  5. Step 5: Solve for x
    x = 77,708,545,208.86/287,103.73
  6. Step 6: Final answer
    x = 270,663.66

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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.