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Finding the Fourth Proportional to 347,633.64, 521,506.86 and 107,691.48

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Solution

The fourth proportional to 347,633.64, 521,506.86 and 107,691.48 is: 161,554.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,633.64 : 521,506.86 = 107,691.48 : x
  2. Step 2: Convert to fraction form
    347,633.64/521,506.86 = 107,691.48/x
  3. Step 3: Cross multiply
    347,633.64x = 521,506.86 × 107,691.48
  4. Step 4: Simplify right side
    347,633.64x = 56,161,845,583.55
  5. Step 5: Solve for x
    x = 56,161,845,583.55/347,633.64
  6. Step 6: Final answer
    x = 161,554.69

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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.