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Finding the Fourth Proportional to 415,872.90, 623,375.19 and 301,744.98

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Solution

The fourth proportional to 415,872.90, 623,375.19 and 301,744.98 is: 452,302.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,872.90 : 623,375.19 = 301,744.98 : x
  2. Step 2: Convert to fraction form
    415,872.90/623,375.19 = 301,744.98/x
  3. Step 3: Cross multiply
    415,872.90x = 623,375.19 × 301,744.98
  4. Step 4: Simplify right side
    415,872.90x = 188,100,334,239.05
  5. Step 5: Solve for x
    x = 188,100,334,239.05/415,872.90
  6. Step 6: Final answer
    x = 452,302.46

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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.