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Finding the Fourth Proportional to 357,628.71, 493,530.96 and 196,487.10

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Solution

The fourth proportional to 357,628.71, 493,530.96 and 196,487.10 is: 271,154.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,628.71 : 493,530.96 = 196,487.10 : x
  2. Step 2: Convert to fraction form
    357,628.71/493,530.96 = 196,487.10/x
  3. Step 3: Cross multiply
    357,628.71x = 493,530.96 × 196,487.10
  4. Step 4: Simplify right side
    357,628.71x = 96,972,467,090.62
  5. Step 5: Solve for x
    x = 96,972,467,090.62/357,628.71
  6. Step 6: Final answer
    x = 271,154.03

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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.