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Finding the Fourth Proportional to 432,866.16, 649,368.96 and 133,346.64

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Solution

The fourth proportional to 432,866.16, 649,368.96 and 133,346.64 is: 200,041.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,866.16 : 649,368.96 = 133,346.64 : x
  2. Step 2: Convert to fraction form
    432,866.16/649,368.96 = 133,346.64/x
  3. Step 3: Cross multiply
    432,866.16x = 649,368.96 × 133,346.64
  4. Step 4: Simplify right side
    432,866.16x = 86,591,168,936.29
  5. Step 5: Solve for x
    x = 86,591,168,936.29/432,866.16
  6. Step 6: Final answer
    x = 200,041.44

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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.