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Finding the Fourth Proportional to 314,224.68, 471,410.82 and 103,862.60

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Solution

The fourth proportional to 314,224.68, 471,410.82 and 103,862.60 is: 155,818.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,224.68 : 471,410.82 = 103,862.60 : x
  2. Step 2: Convert to fraction form
    314,224.68/471,410.82 = 103,862.60/x
  3. Step 3: Cross multiply
    314,224.68x = 471,410.82 × 103,862.60
  4. Step 4: Simplify right side
    314,224.68x = 48,961,951,076.28
  5. Step 5: Solve for x
    x = 48,961,951,076.28/314,224.68
  6. Step 6: Final answer
    x = 155,818.29

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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.