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Finding the Fourth Proportional to 357,898.12, 493,908.84 and 196,757.23

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Solution

The fourth proportional to 357,898.12, 493,908.84 and 196,757.23 is: 271,530.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,898.12 : 493,908.84 = 196,757.23 : x
  2. Step 2: Convert to fraction form
    357,898.12/493,908.84 = 196,757.23/x
  3. Step 3: Cross multiply
    357,898.12x = 493,908.84 × 196,757.23
  4. Step 4: Simplify right side
    357,898.12x = 97,180,131,777.58
  5. Step 5: Solve for x
    x = 97,180,131,777.58/357,898.12
  6. Step 6: Final answer
    x = 271,530.16

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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.