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Finding the Fourth Proportional to 432,861.04, 649,361.40 and 133,341.60

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Solution

The fourth proportional to 432,861.04, 649,361.40 and 133,341.60 is: 200,033.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,861.04 : 649,361.40 = 133,341.60 : x
  2. Step 2: Convert to fraction form
    432,861.04/649,361.40 = 133,341.60/x
  3. Step 3: Cross multiply
    432,861.04x = 649,361.40 × 133,341.60
  4. Step 4: Simplify right side
    432,861.04x = 86,586,888,054.24
  5. Step 5: Solve for x
    x = 86,586,888,054.24/432,861.04
  6. Step 6: Final answer
    x = 200,033.91

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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.