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Finding the Fourth Proportional to 357,610.34, 493,500.21 and 196,461.92

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Solution

The fourth proportional to 357,610.34, 493,500.21 and 196,461.92 is: 271,116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,610.34 : 493,500.21 = 196,461.92 : x
  2. Step 2: Convert to fraction form
    357,610.34/493,500.21 = 196,461.92/x
  3. Step 3: Cross multiply
    357,610.34x = 493,500.21 × 196,461.92
  4. Step 4: Simplify right side
    357,610.34x = 96,953,999,274.02
  5. Step 5: Solve for x
    x = 96,953,999,274.02/357,610.34
  6. Step 6: Final answer
    x = 271,116.32

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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.