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Finding the Fourth Proportional to 496,627, 745,057.26 and 164,203

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Solution

The fourth proportional to 496,627, 745,057.26 and 164,203 is: 246,343.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,627 : 745,057.26 = 164,203 : x
  2. Step 2: Convert to fraction form
    496,627/745,057.26 = 164,203/x
  3. Step 3: Cross multiply
    496,627x = 745,057.26 × 164,203
  4. Step 4: Simplify right side
    496,627x = 122,340,637,263.78
  5. Step 5: Solve for x
    x = 122,340,637,263.78/496,627
  6. Step 6: Final answer
    x = 246,343.11

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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.