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Finding the Fourth Proportional to 490,162.70, 734,210.76 and 224,147.10

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Solution

The fourth proportional to 490,162.70, 734,210.76 and 224,147.10 is: 335,748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,162.70 : 734,210.76 = 224,147.10 : x
  2. Step 2: Convert to fraction form
    490,162.70/734,210.76 = 224,147.10/x
  3. Step 3: Cross multiply
    490,162.70x = 734,210.76 × 224,147.10
  4. Step 4: Simplify right side
    490,162.70x = 164,571,212,642.80
  5. Step 5: Solve for x
    x = 164,571,212,642.80/490,162.70
  6. Step 6: Final answer
    x = 335,748.14

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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.