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Finding the Fourth Proportional to 429,224.76, 643,347.37 and 172,893.18

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Solution

The fourth proportional to 429,224.76, 643,347.37 and 172,893.18 is: 259,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,224.76 : 643,347.37 = 172,893.18 : x
  2. Step 2: Convert to fraction form
    429,224.76/643,347.37 = 172,893.18/x
  3. Step 3: Cross multiply
    429,224.76x = 643,347.37 × 172,893.18
  4. Step 4: Simplify right side
    429,224.76x = 111,230,374,786.34
  5. Step 5: Solve for x
    x = 111,230,374,786.34/429,224.76
  6. Step 6: Final answer
    x = 259,142.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.