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Finding the Fourth Proportional to 490,756.29, 735,609.55 and 224,117.25

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Solution

The fourth proportional to 490,756.29, 735,609.55 and 224,117.25 is: 335,936.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,756.29 : 735,609.55 = 224,117.25 : x
  2. Step 2: Convert to fraction form
    490,756.29/735,609.55 = 224,117.25/x
  3. Step 3: Cross multiply
    490,756.29x = 735,609.55 × 224,117.25
  4. Step 4: Simplify right side
    490,756.29x = 164,862,789,419.74
  5. Step 5: Solve for x
    x = 164,862,789,419.74/490,756.29
  6. Step 6: Final answer
    x = 335,936.17

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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.