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Finding the Fourth Proportional to 231,484.64, 347,259.24 and 71,573.63

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Solution

The fourth proportional to 231,484.64, 347,259.24 and 71,573.63 is: 107,370.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,484.64 : 347,259.24 = 71,573.63 : x
  2. Step 2: Convert to fraction form
    231,484.64/347,259.24 = 71,573.63/x
  3. Step 3: Cross multiply
    231,484.64x = 347,259.24 × 71,573.63
  4. Step 4: Simplify right side
    231,484.64x = 24,854,602,621.55
  5. Step 5: Solve for x
    x = 24,854,602,621.55/231,484.64
  6. Step 6: Final answer
    x = 107,370.42

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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.