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Finding the Fourth Proportional to 357,423.12, 493,249.54 and 194,079.50

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Solution

The fourth proportional to 357,423.12, 493,249.54 and 194,079.50 is: 267,832.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,423.12 : 493,249.54 = 194,079.50 : x
  2. Step 2: Convert to fraction form
    357,423.12/493,249.54 = 194,079.50/x
  3. Step 3: Cross multiply
    357,423.12x = 493,249.54 × 194,079.50
  4. Step 4: Simplify right side
    357,423.12x = 95,729,624,098.43
  5. Step 5: Solve for x
    x = 95,729,624,098.43/357,423.12
  6. Step 6: Final answer
    x = 267,832.77

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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.