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Finding the Fourth Proportional to 504,611.64, 757,063.57 and 149,634.20

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Solution

The fourth proportional to 504,611.64, 757,063.57 and 149,634.20 is: 224,494.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,611.64 : 757,063.57 = 149,634.20 : x
  2. Step 2: Convert to fraction form
    504,611.64/757,063.57 = 149,634.20/x
  3. Step 3: Cross multiply
    504,611.64x = 757,063.57 × 149,634.20
  4. Step 4: Simplify right side
    504,611.64x = 113,282,600,897.92
  5. Step 5: Solve for x
    x = 113,282,600,897.92/504,611.64
  6. Step 6: Final answer
    x = 224,494.63

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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.