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Finding the Fourth Proportional to 504,398.75, 756,600.85 and 149,415.84

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Solution

The fourth proportional to 504,398.75, 756,600.85 and 149,415.84 is: 224,124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,398.75 : 756,600.85 = 149,415.84 : x
  2. Step 2: Convert to fraction form
    504,398.75/756,600.85 = 149,415.84/x
  3. Step 3: Cross multiply
    504,398.75x = 756,600.85 × 149,415.84
  4. Step 4: Simplify right side
    504,398.75x = 113,048,151,734.23
  5. Step 5: Solve for x
    x = 113,048,151,734.23/504,398.75
  6. Step 6: Final answer
    x = 224,124.57

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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.