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Finding the Fourth Proportional to 433,476.87, 650,054.01 and 149,087.59

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Solution

The fourth proportional to 433,476.87, 650,054.01 and 149,087.59 is: 223,575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,476.87 : 650,054.01 = 149,087.59 : x
  2. Step 2: Convert to fraction form
    433,476.87/650,054.01 = 149,087.59/x
  3. Step 3: Cross multiply
    433,476.87x = 650,054.01 × 149,087.59
  4. Step 4: Simplify right side
    433,476.87x = 96,914,983,816.06
  5. Step 5: Solve for x
    x = 96,914,983,816.06/433,476.87
  6. Step 6: Final answer
    x = 223,575.91

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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.