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Finding the Fourth Proportional to 419,906.80, 629,675.52 and 153,598.24

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Solution

The fourth proportional to 419,906.80, 629,675.52 and 153,598.24 is: 230,329.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,906.80 : 629,675.52 = 153,598.24 : x
  2. Step 2: Convert to fraction form
    419,906.80/629,675.52 = 153,598.24/x
  3. Step 3: Cross multiply
    419,906.80x = 629,675.52 × 153,598.24
  4. Step 4: Simplify right side
    419,906.80x = 96,717,051,643.08
  5. Step 5: Solve for x
    x = 96,717,051,643.08/419,906.80
  6. Step 6: Final answer
    x = 230,329.81

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1.5x scale

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.