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Finding the Fourth Proportional to 419,813.60, 629,720.40 and 170,674.40

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Solution

The fourth proportional to 419,813.60, 629,720.40 and 170,674.40 is: 256,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,813.60 : 629,720.40 = 170,674.40 : x
  2. Step 2: Convert to fraction form
    419,813.60/629,720.40 = 170,674.40/x
  3. Step 3: Cross multiply
    419,813.60x = 629,720.40 × 170,674.40
  4. Step 4: Simplify right side
    419,813.60x = 107,477,151,437.76
  5. Step 5: Solve for x
    x = 107,477,151,437.76/419,813.60
  6. Step 6: Final answer
    x = 256,011.60

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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.