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Finding the Fourth Proportional to 419,813.83, 629,814.30 and 153,568.45

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Solution

The fourth proportional to 419,813.83, 629,814.30 and 153,568.45 is: 230,386.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,813.83 : 629,814.30 = 153,568.45 : x
  2. Step 2: Convert to fraction form
    419,813.83/629,814.30 = 153,568.45/x
  3. Step 3: Cross multiply
    419,813.83x = 629,814.30 × 153,568.45
  4. Step 4: Simplify right side
    419,813.83x = 96,719,605,838.84
  5. Step 5: Solve for x
    x = 96,719,605,838.84/419,813.83
  6. Step 6: Final answer
    x = 230,386.90

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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.