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Finding the Fourth Proportional to 285,305.70, 427,649.63 and 185,537.50

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Solution

The fourth proportional to 285,305.70, 427,649.63 and 185,537.50 is: 278,105.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,305.70 : 427,649.63 = 185,537.50 : x
  2. Step 2: Convert to fraction form
    285,305.70/427,649.63 = 185,537.50/x
  3. Step 3: Cross multiply
    285,305.70x = 427,649.63 × 185,537.50
  4. Step 4: Simplify right side
    285,305.70x = 79,345,042,620.84
  5. Step 5: Solve for x
    x = 79,345,042,620.84/285,305.70
  6. Step 6: Final answer
    x = 278,105.35

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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.