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Finding the Fourth Proportional to 413,558.46, 620,337.96 and 133,075.71

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Solution

The fourth proportional to 413,558.46, 620,337.96 and 133,075.71 is: 199,613.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,558.46 : 620,337.96 = 133,075.71 : x
  2. Step 2: Convert to fraction form
    413,558.46/620,337.96 = 133,075.71/x
  3. Step 3: Cross multiply
    413,558.46x = 620,337.96 × 133,075.71
  4. Step 4: Simplify right side
    413,558.46x = 82,551,914,466.95
  5. Step 5: Solve for x
    x = 82,551,914,466.95/413,558.46
  6. Step 6: Final answer
    x = 199,613.65

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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.