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Finding the Fourth Proportional to 357,999.68, 494,041.34 and 196,865.12

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Solution

The fourth proportional to 357,999.68, 494,041.34 and 196,865.12 is: 271,674.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,999.68 : 494,041.34 = 196,865.12 : x
  2. Step 2: Convert to fraction form
    357,999.68/494,041.34 = 196,865.12/x
  3. Step 3: Cross multiply
    357,999.68x = 494,041.34 × 196,865.12
  4. Step 4: Simplify right side
    357,999.68x = 97,259,507,684.06
  5. Step 5: Solve for x
    x = 97,259,507,684.06/357,999.68
  6. Step 6: Final answer
    x = 271,674.85

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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.