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Finding the Fourth Proportional to 357,877.56, 493,870.86 and 196,743

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Solution

The fourth proportional to 357,877.56, 493,870.86 and 196,743 is: 271,505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,877.56 : 493,870.86 = 196,743 : x
  2. Step 2: Convert to fraction form
    357,877.56/493,870.86 = 196,743/x
  3. Step 3: Cross multiply
    357,877.56x = 493,870.86 × 196,743
  4. Step 4: Simplify right side
    357,877.56x = 97,165,634,608.98
  5. Step 5: Solve for x
    x = 97,165,634,608.98/357,877.56
  6. Step 6: Final answer
    x = 271,505.25

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