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Finding the Fourth Proportional to 504,461.45, 756,694.91 and 149,478.54

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Solution

The fourth proportional to 504,461.45, 756,694.91 and 149,478.54 is: 224,218.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,461.45 : 756,694.91 = 149,478.54 : x
  2. Step 2: Convert to fraction form
    504,461.45/756,694.91 = 149,478.54/x
  3. Step 3: Cross multiply
    504,461.45x = 756,694.91 × 149,478.54
  4. Step 4: Simplify right side
    504,461.45x = 113,109,649,624.84
  5. Step 5: Solve for x
    x = 113,109,649,624.84/504,461.45
  6. Step 6: Final answer
    x = 224,218.62

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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.