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Finding the Fourth Proportional to 289,000.20, 433,500.30 and 155,811.90

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Solution

The fourth proportional to 289,000.20, 433,500.30 and 155,811.90 is: 233,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,000.20 : 433,500.30 = 155,811.90 : x
  2. Step 2: Convert to fraction form
    289,000.20/433,500.30 = 155,811.90/x
  3. Step 3: Cross multiply
    289,000.20x = 433,500.30 × 155,811.90
  4. Step 4: Simplify right side
    289,000.20x = 67,544,505,393.57
  5. Step 5: Solve for x
    x = 67,544,505,393.57/289,000.20
  6. Step 6: Final answer
    x = 233,717.85

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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.