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Finding the Fourth Proportional to 307,762.32, 461,699.64 and 141,546

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Solution

The fourth proportional to 307,762.32, 461,699.64 and 141,546 is: 212,344.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,762.32 : 461,699.64 = 141,546 : x
  2. Step 2: Convert to fraction form
    307,762.32/461,699.64 = 141,546/x
  3. Step 3: Cross multiply
    307,762.32x = 461,699.64 × 141,546
  4. Step 4: Simplify right side
    307,762.32x = 65,351,737,243.44
  5. Step 5: Solve for x
    x = 65,351,737,243.44/307,762.32
  6. Step 6: Final answer
    x = 212,344.83

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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.