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Finding the Fourth Proportional to 360,539.25, 497,610.72 and 231,638.86

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Solution

The fourth proportional to 360,539.25, 497,610.72 and 231,638.86 is: 319,704.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,539.25 : 497,610.72 = 231,638.86 : x
  2. Step 2: Convert to fraction form
    360,539.25/497,610.72 = 231,638.86/x
  3. Step 3: Cross multiply
    360,539.25x = 497,610.72 × 231,638.86
  4. Step 4: Simplify right side
    360,539.25x = 115,265,977,416.53
  5. Step 5: Solve for x
    x = 115,265,977,416.53/360,539.25
  6. Step 6: Final answer
    x = 319,704.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.