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Finding the Fourth Proportional to 419,832.98, 629,752.30 and 153,483.92

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Solution

The fourth proportional to 419,832.98, 629,752.30 and 153,483.92 is: 230,226.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,832.98 : 629,752.30 = 153,483.92 : x
  2. Step 2: Convert to fraction form
    419,832.98/629,752.30 = 153,483.92/x
  3. Step 3: Cross multiply
    419,832.98x = 629,752.30 × 153,483.92
  4. Step 4: Simplify right side
    419,832.98x = 96,656,851,633.02
  5. Step 5: Solve for x
    x = 96,656,851,633.02/419,832.98
  6. Step 6: Final answer
    x = 230,226.91

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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.