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Finding the Fourth Proportional to 432,905.32, 649,369.07 and 205,147.50

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Solution

The fourth proportional to 432,905.32, 649,369.07 and 205,147.50 is: 307,726.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,905.32 : 649,369.07 = 205,147.50 : x
  2. Step 2: Convert to fraction form
    432,905.32/649,369.07 = 205,147.50/x
  3. Step 3: Cross multiply
    432,905.32x = 649,369.07 × 205,147.50
  4. Step 4: Simplify right side
    432,905.32x = 133,216,438,596.26
  5. Step 5: Solve for x
    x = 133,216,438,596.26/432,905.32
  6. Step 6: Final answer
    x = 307,726.50

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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.