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Finding the Fourth Proportional to 433,478.87, 650,057.01 and 149,089.59

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Solution

The fourth proportional to 433,478.87, 650,057.01 and 149,089.59 is: 223,578.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,478.87 : 650,057.01 = 149,089.59 : x
  2. Step 2: Convert to fraction form
    433,478.87/650,057.01 = 149,089.59/x
  3. Step 3: Cross multiply
    433,478.87x = 650,057.01 × 149,089.59
  4. Step 4: Simplify right side
    433,478.87x = 96,916,733,097.53
  5. Step 5: Solve for x
    x = 96,916,733,097.53/433,478.87
  6. Step 6: Final answer
    x = 223,578.91

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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.