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Finding the Fourth Proportional to 289,231.80, 433,847.70 and 194,753.40

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Solution

The fourth proportional to 289,231.80, 433,847.70 and 194,753.40 is: 292,130.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,231.80 : 433,847.70 = 194,753.40 : x
  2. Step 2: Convert to fraction form
    289,231.80/433,847.70 = 194,753.40/x
  3. Step 3: Cross multiply
    289,231.80x = 433,847.70 × 194,753.40
  4. Step 4: Simplify right side
    289,231.80x = 84,493,314,657.18
  5. Step 5: Solve for x
    x = 84,493,314,657.18/289,231.80
  6. Step 6: Final answer
    x = 292,130.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.