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Finding the Fourth Proportional to 463,761.63, 695,905.47 and 197,494.38

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Solution

The fourth proportional to 463,761.63, 695,905.47 and 197,494.38 is: 296,353.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,761.63 : 695,905.47 = 197,494.38 : x
  2. Step 2: Convert to fraction form
    463,761.63/695,905.47 = 197,494.38/x
  3. Step 3: Cross multiply
    463,761.63x = 695,905.47 × 197,494.38
  4. Step 4: Simplify right side
    463,761.63x = 137,437,419,336.26
  5. Step 5: Solve for x
    x = 137,437,419,336.26/463,761.63
  6. Step 6: Final answer
    x = 296,353.58

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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.