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Finding the Fourth Proportional to 486,794.92, 730,193.82 and 149,833

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Solution

The fourth proportional to 486,794.92, 730,193.82 and 149,833 is: 224,749.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,794.92 : 730,193.82 = 149,833 : x
  2. Step 2: Convert to fraction form
    486,794.92/730,193.82 = 149,833/x
  3. Step 3: Cross multiply
    486,794.92x = 730,193.82 × 149,833
  4. Step 4: Simplify right side
    486,794.92x = 109,407,130,632.06
  5. Step 5: Solve for x
    x = 109,407,130,632.06/486,794.92
  6. Step 6: Final answer
    x = 224,749.94

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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.