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Finding the Fourth Proportional to 432,912.80, 649,433.70 and 133,368.32

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Solution

The fourth proportional to 432,912.80, 649,433.70 and 133,368.32 is: 200,072.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,912.80 : 649,433.70 = 133,368.32 : x
  2. Step 2: Convert to fraction form
    432,912.80/649,433.70 = 133,368.32/x
  3. Step 3: Cross multiply
    432,912.80x = 649,433.70 × 133,368.32
  4. Step 4: Simplify right side
    432,912.80x = 86,613,883,143.97
  5. Step 5: Solve for x
    x = 86,613,883,143.97/432,912.80
  6. Step 6: Final answer
    x = 200,072.35

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1.5x scale

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.