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Finding the Fourth Proportional to 432,860.16, 649,359.96 and 133,340.64

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Solution

The fourth proportional to 432,860.16, 649,359.96 and 133,340.64 is: 200,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,860.16 : 649,359.96 = 133,340.64 : x
  2. Step 2: Convert to fraction form
    432,860.16/649,359.96 = 133,340.64/x
  3. Step 3: Cross multiply
    432,860.16x = 649,359.96 × 133,340.64
  4. Step 4: Simplify right side
    432,860.16x = 86,586,072,656.77
  5. Step 5: Solve for x
    x = 86,586,072,656.77/432,860.16
  6. Step 6: Final answer
    x = 200,032.44

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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.