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Finding the Fourth Proportional to 433,881.37, 649,690.17 and 349,178.86

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Solution

The fourth proportional to 433,881.37, 649,690.17 and 349,178.86 is: 522,857.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,881.37 : 649,690.17 = 349,178.86 : x
  2. Step 2: Convert to fraction form
    433,881.37/649,690.17 = 349,178.86/x
  3. Step 3: Cross multiply
    433,881.37x = 649,690.17 × 349,178.86
  4. Step 4: Simplify right side
    433,881.37x = 226,858,072,913.81
  5. Step 5: Solve for x
    x = 226,858,072,913.81/433,881.37
  6. Step 6: Final answer
    x = 522,857.37

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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.