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Finding the Fourth Proportional to 401,166.90, 601,745.58 and 97,562.70

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Solution

The fourth proportional to 401,166.90, 601,745.58 and 97,562.70 is: 146,342.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,166.90 : 601,745.58 = 97,562.70 : x
  2. Step 2: Convert to fraction form
    401,166.90/601,745.58 = 97,562.70/x
  3. Step 3: Cross multiply
    401,166.90x = 601,745.58 × 97,562.70
  4. Step 4: Simplify right side
    401,166.90x = 58,707,923,497.87
  5. Step 5: Solve for x
    x = 58,707,923,497.87/401,166.90
  6. Step 6: Final answer
    x = 146,342.89

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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.