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Finding the Fourth Proportional to 417,576, 626,057.28 and 133,102.77

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Solution

The fourth proportional to 417,576, 626,057.28 and 133,102.77 is: 199,556.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,576 : 626,057.28 = 133,102.77 : x
  2. Step 2: Convert to fraction form
    417,576/626,057.28 = 133,102.77/x
  3. Step 3: Cross multiply
    417,576x = 626,057.28 × 133,102.77
  4. Step 4: Simplify right side
    417,576x = 83,329,958,146.67
  5. Step 5: Solve for x
    x = 83,329,958,146.67/417,576
  6. Step 6: Final answer
    x = 199,556.39

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1.5x scale

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.