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Finding the Fourth Proportional to 432,955.91, 649,495.02 and 133,460.84

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Solution

The fourth proportional to 432,955.91, 649,495.02 and 133,460.84 is: 200,210.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,955.91 : 649,495.02 = 133,460.84 : x
  2. Step 2: Convert to fraction form
    432,955.91/649,495.02 = 133,460.84/x
  3. Step 3: Cross multiply
    432,955.91x = 649,495.02 × 133,460.84
  4. Step 4: Simplify right side
    432,955.91x = 86,682,150,945.02
  5. Step 5: Solve for x
    x = 86,682,150,945.02/432,955.91
  6. Step 6: Final answer
    x = 200,210.11

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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.