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Finding the Fourth Proportional to 616,051.26, 924,076.31 and 231,871.86

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Solution

The fourth proportional to 616,051.26, 924,076.31 and 231,871.86 is: 347,807.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,051.26 : 924,076.31 = 231,871.86 : x
  2. Step 2: Convert to fraction form
    616,051.26/924,076.31 = 231,871.86/x
  3. Step 3: Cross multiply
    616,051.26x = 924,076.31 × 231,871.86
  4. Step 4: Simplify right side
    616,051.26x = 214,267,291,622.28
  5. Step 5: Solve for x
    x = 214,267,291,622.28/616,051.26
  6. Step 6: Final answer
    x = 347,807.57

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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.