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Finding the Fourth Proportional to 432,688.62, 649,033.36 and 112,840.24

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Solution

The fourth proportional to 432,688.62, 649,033.36 and 112,840.24 is: 169,260.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,688.62 : 649,033.36 = 112,840.24 : x
  2. Step 2: Convert to fraction form
    432,688.62/649,033.36 = 112,840.24/x
  3. Step 3: Cross multiply
    432,688.62x = 649,033.36 × 112,840.24
  4. Step 4: Simplify right side
    432,688.62x = 73,237,080,110.41
  5. Step 5: Solve for x
    x = 73,237,080,110.41/432,688.62
  6. Step 6: Final answer
    x = 169,260.47

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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.