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Finding the Fourth Proportional to 365,886.83, 548,827.09 and 285,991.92

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Solution

The fourth proportional to 365,886.83, 548,827.09 and 285,991.92 is: 428,985.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,886.83 : 548,827.09 = 285,991.92 : x
  2. Step 2: Convert to fraction form
    365,886.83/548,827.09 = 285,991.92/x
  3. Step 3: Cross multiply
    365,886.83x = 548,827.09 × 285,991.92
  4. Step 4: Simplify right side
    365,886.83x = 156,960,113,217.11
  5. Step 5: Solve for x
    x = 156,960,113,217.11/365,886.83
  6. Step 6: Final answer
    x = 428,985.41

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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.