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Finding the Fourth Proportional to 550,042.56, 824,856.45 and 230,216.58

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Solution

The fourth proportional to 550,042.56, 824,856.45 and 230,216.58 is: 345,238.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,042.56 : 824,856.45 = 230,216.58 : x
  2. Step 2: Convert to fraction form
    550,042.56/824,856.45 = 230,216.58/x
  3. Step 3: Cross multiply
    550,042.56x = 824,856.45 × 230,216.58
  4. Step 4: Simplify right side
    550,042.56x = 189,895,630,909.94
  5. Step 5: Solve for x
    x = 189,895,630,909.94/550,042.56
  6. Step 6: Final answer
    x = 345,238.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.