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Finding the Fourth Proportional to 357,816.89, 493,800.30 and 196,684.20

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Solution

The fourth proportional to 357,816.89, 493,800.30 and 196,684.20 is: 271,431.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,816.89 : 493,800.30 = 196,684.20 : x
  2. Step 2: Convert to fraction form
    357,816.89/493,800.30 = 196,684.20/x
  3. Step 3: Cross multiply
    357,816.89x = 493,800.30 × 196,684.20
  4. Step 4: Simplify right side
    357,816.89x = 97,122,716,965.26
  5. Step 5: Solve for x
    x = 97,122,716,965.26/357,816.89
  6. Step 6: Final answer
    x = 271,431.34

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1.5x scale

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.