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Finding the Fourth Proportional to 357,999.96, 494,029.50 and 196,854.84

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Solution

The fourth proportional to 357,999.96, 494,029.50 and 196,854.84 is: 271,653.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,999.96 : 494,029.50 = 196,854.84 : x
  2. Step 2: Convert to fraction form
    357,999.96/494,029.50 = 196,854.84/x
  3. Step 3: Cross multiply
    357,999.96x = 494,029.50 × 196,854.84
  4. Step 4: Simplify right side
    357,999.96x = 97,252,098,177.78
  5. Step 5: Solve for x
    x = 97,252,098,177.78/357,999.96
  6. Step 6: Final answer
    x = 271,653.94

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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.