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Finding the Fourth Proportional to 433,429.64, 649,982.78 and 149,039.74

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Solution

The fourth proportional to 433,429.64, 649,982.78 and 149,039.74 is: 223,504.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,429.64 : 649,982.78 = 149,039.74 : x
  2. Step 2: Convert to fraction form
    433,429.64/649,982.78 = 149,039.74/x
  3. Step 3: Cross multiply
    433,429.64x = 649,982.78 × 149,039.74
  4. Step 4: Simplify right side
    433,429.64x = 96,873,264,535.68
  5. Step 5: Solve for x
    x = 96,873,264,535.68/433,429.64
  6. Step 6: Final answer
    x = 223,504.01

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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.