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Finding the Fourth Proportional to 401,648.74, 602,493.14 and 131,752.89

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Solution

The fourth proportional to 401,648.74, 602,493.14 and 131,752.89 is: 197,635.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,648.74 : 602,493.14 = 131,752.89 : x
  2. Step 2: Convert to fraction form
    401,648.74/602,493.14 = 131,752.89/x
  3. Step 3: Cross multiply
    401,648.74x = 602,493.14 × 131,752.89
  4. Step 4: Simplify right side
    401,648.74x = 79,380,212,729.56
  5. Step 5: Solve for x
    x = 79,380,212,729.56/401,648.74
  6. Step 6: Final answer
    x = 197,635.91

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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.