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Finding the Fourth Proportional to 361,006.96, 542,007.36 and 183,634

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Solution

The fourth proportional to 361,006.96, 542,007.36 and 183,634 is: 275,703.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,006.96 : 542,007.36 = 183,634 : x
  2. Step 2: Convert to fraction form
    361,006.96/542,007.36 = 183,634/x
  3. Step 3: Cross multiply
    361,006.96x = 542,007.36 × 183,634
  4. Step 4: Simplify right side
    361,006.96x = 99,530,979,546.24
  5. Step 5: Solve for x
    x = 99,530,979,546.24/361,006.96
  6. Step 6: Final answer
    x = 275,703.77

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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.