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Finding the Fourth Proportional to 357,910.80, 493,895.93 and 196,765.76

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Solution

The fourth proportional to 357,910.80, 493,895.93 and 196,765.76 is: 271,525.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,910.80 : 493,895.93 = 196,765.76 : x
  2. Step 2: Convert to fraction form
    357,910.80/493,895.93 = 196,765.76/x
  3. Step 3: Cross multiply
    357,910.80x = 493,895.93 × 196,765.76
  4. Step 4: Simplify right side
    357,910.80x = 97,181,804,574.05
  5. Step 5: Solve for x
    x = 97,181,804,574.05/357,910.80
  6. Step 6: Final answer
    x = 271,525.21

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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.