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Finding the Fourth Proportional to 357,877.06, 493,870.17 and 196,742.50

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Solution

The fourth proportional to 357,877.06, 493,870.17 and 196,742.50 is: 271,504.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,877.06 : 493,870.17 = 196,742.50 : x
  2. Step 2: Convert to fraction form
    357,877.06/493,870.17 = 196,742.50/x
  3. Step 3: Cross multiply
    357,877.06x = 493,870.17 × 196,742.50
  4. Step 4: Simplify right side
    357,877.06x = 97,165,251,921.23
  5. Step 5: Solve for x
    x = 97,165,251,921.23/357,877.06
  6. Step 6: Final answer
    x = 271,504.56

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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.