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Finding the Fourth Proportional to 419,764.64, 629,479.92 and 153,464.48

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Solution

The fourth proportional to 419,764.64, 629,479.92 and 153,464.48 is: 230,135.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,764.64 : 629,479.92 = 153,464.48 : x
  2. Step 2: Convert to fraction form
    419,764.64/629,479.92 = 153,464.48/x
  3. Step 3: Cross multiply
    419,764.64x = 629,479.92 × 153,464.48
  4. Step 4: Simplify right side
    419,764.64x = 96,602,808,593.24
  5. Step 5: Solve for x
    x = 96,602,808,593.24/419,764.64
  6. Step 6: Final answer
    x = 230,135.65

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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.