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Finding the Fourth Proportional to 433,244.80, 649,617.06 and 133,644.93

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Solution

The fourth proportional to 433,244.80, 649,617.06 and 133,644.93 is: 200,390.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,244.80 : 649,617.06 = 133,644.93 : x
  2. Step 2: Convert to fraction form
    433,244.80/649,617.06 = 133,644.93/x
  3. Step 3: Cross multiply
    433,244.80x = 649,617.06 × 133,644.93
  4. Step 4: Simplify right side
    433,244.80x = 86,818,025,842.28
  5. Step 5: Solve for x
    x = 86,818,025,842.28/433,244.80
  6. Step 6: Final answer
    x = 200,390.23

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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.