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Finding the Fourth Proportional to 384,014.71, 529,939.41 and 222,964.03

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Solution

The fourth proportional to 384,014.71, 529,939.41 and 222,964.03 is: 307,689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,014.71 : 529,939.41 = 222,964.03 : x
  2. Step 2: Convert to fraction form
    384,014.71/529,939.41 = 222,964.03/x
  3. Step 3: Cross multiply
    384,014.71x = 529,939.41 × 222,964.03
  4. Step 4: Simplify right side
    384,014.71x = 118,157,426,509.42
  5. Step 5: Solve for x
    x = 118,157,426,509.42/384,014.71
  6. Step 6: Final answer
    x = 307,689.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.