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Finding the Fourth Proportional to 357,820.31, 493,779.49 and 196,674.33

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Solution

The fourth proportional to 357,820.31, 493,779.49 and 196,674.33 is: 271,403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,820.31 : 493,779.49 = 196,674.33 : x
  2. Step 2: Convert to fraction form
    357,820.31/493,779.49 = 196,674.33/x
  3. Step 3: Cross multiply
    357,820.31x = 493,779.49 × 196,674.33
  4. Step 4: Simplify right side
    357,820.31x = 97,113,750,052.26
  5. Step 5: Solve for x
    x = 97,113,750,052.26/357,820.31
  6. Step 6: Final answer
    x = 271,403.68

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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.