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Finding the Fourth Proportional to 417,756.67, 626,604.01 and 133,435.73

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Solution

The fourth proportional to 417,756.67, 626,604.01 and 133,435.73 is: 200,143.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,756.67 : 626,604.01 = 133,435.73 : x
  2. Step 2: Convert to fraction form
    417,756.67/626,604.01 = 133,435.73/x
  3. Step 3: Cross multiply
    417,756.67x = 626,604.01 × 133,435.73
  4. Step 4: Simplify right side
    417,756.67x = 83,611,363,495.28
  5. Step 5: Solve for x
    x = 83,611,363,495.28/417,756.67
  6. Step 6: Final answer
    x = 200,143.69

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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.