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Finding the Fourth Proportional to 490,166.70, 734,216.76 and 224,151.12

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Solution

The fourth proportional to 490,166.70, 734,216.76 and 224,151.12 is: 335,754.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,166.70 : 734,216.76 = 224,151.12 : x
  2. Step 2: Convert to fraction form
    490,166.70/734,216.76 = 224,151.12/x
  3. Step 3: Cross multiply
    490,166.70x = 734,216.76 × 224,151.12
  4. Step 4: Simplify right side
    490,166.70x = 164,575,509,076.77
  5. Step 5: Solve for x
    x = 164,575,509,076.77/490,166.70
  6. Step 6: Final answer
    x = 335,754.16

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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.