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Finding the Fourth Proportional to 432,856.98, 649,296.54 and 205,099.16

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Solution

The fourth proportional to 432,856.98, 649,296.54 and 205,099.16 is: 307,653.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,856.98 : 649,296.54 = 205,099.16 : x
  2. Step 2: Convert to fraction form
    432,856.98/649,296.54 = 205,099.16/x
  3. Step 3: Cross multiply
    432,856.98x = 649,296.54 × 205,099.16
  4. Step 4: Simplify right side
    432,856.98x = 133,170,171,698.42
  5. Step 5: Solve for x
    x = 133,170,171,698.42/432,856.98
  6. Step 6: Final answer
    x = 307,653.98

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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.